At time t = 0, a student throws a set of keys vertically upward to her sorority sister, who is in a window at distance h above. The second student catches the keys at time t. (a) With what initial velocity were the keys thrown? (b) What was the velocity of the keys just before they were caught?

At time t = 0, a student throws a set of keys vertically upward to her sorority sister, who is in a window at distance h above. The second student catches the keys at time t. (a) With what initial velocity were the keys thrown? (b) What was the velocity of the keys just before they were caught?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 7OQ: A projectile is launched on the Earth with a certain initial velocity and moves without air...

See similar textbooks

Related questions

Q: A student throws a set of keys vertically upward to her sorority sister, who is in a window 3.50 m…

A: Given data: The vertical displacement is ∆y=3.50 m. The time is t=1.40 s. Part (a) The initial…

Q: Under which of the following conditions is the magnitude of the average velocity of a particle…

A: The expression to calculate the average speed of the particle is given by, Va=DT Here, D is the…

Q: A squirrel has x- and y-coordinates (1.1 m, 3.4 m) at time t, = 0 and coordinates (5.3 m, -0.5 m) at…

A: Given: The initial coordinate of the squirrel is (1.1 m, 3.4 m). The time is t1=0. The final…

Q: The average acceleration is defined as (Choose the correct answer) O a. The displacement divided by…

Q: A student throws a set of keys vertically upward to her sorority sister, who is at a window 4.00 m…

Q: For the following scenarios is there an instant when the average velocity for the time interval will…

A: Given a) A hockey puck slides across a frozen pond without slowing down b) a race car takes a lap…

Q: A car is stopped at a traffic light. It then travels along a straight road such that its distance…

Q: A motorcycle starts from rest at t = 0, and attains a final speed V at time t. If the motorcycle's…

Q: Select the following that are true distance time O The object is increasing it's distance with time…

A: Let's chech each orion one by one 1. The object is increasing its distance with time This statement…

Q: Answer the following

A: (a) The velocity of the particle is, v=dxdt ...... (1) The given…

Q: If Yomi is walking 3 m/s to the north and David is walking 3 m/s to the west, then which of the…

A: Given : Yomi is walking 3m/s to the North. David is walking 3m/s to the West. We have to tell which…

Q: Suppose f (t) = -10t2 + 3 is the position at time t of an object moving along the x-axis. Find the…

A: Given, the position of a object as function of time as,f(t) =-10t2+3we have to calculate the…

Q: Which of the following quantities are equal for cars J and L if car J is moving at 30 m/s to right…

A: Given data: Velocity of car J = 30 m/s, to the right Velocity of car L = 30 m/s, to the left

Q: Suppose that a ball is thrown straight up in the air, and that a second ball is thrown straight…

A: Given information: The maximum height of both the balls (hmax) = 6.0 m Let us consider the upward…

Q: The velocity of an object moving along a line is given by v = 2t2 + 5 ft/s on the interval 0sts4. a.…

Q: The position of a particle moving along an x axis is given by x = 16.0t² - 5.00t³, where x is in…

A: The given position function is, x=16t2-5t3 The position at t = 6 s is, x6=1662-563x6=576-1080x6=-504…

Q: On a one lane road, a person driving a car at v = 78 mi/h suddenly notices a truck 0.65 mi in front…

Q: The height of an object thrown upward with an initial velocity of 96 feet per second is given by the…

Q: If a ball is thrown directly upwards with 4.6 x the initial speed of another ball, what is the ratio…

Q: At a certain instant, a ball is thrown downward with a velocity of 8.0 m/s from a height of 40 m. At…

A: "Since, you have asked multiple questions, we will answer only first question. If you want any…

Q: An athlete swims the length L of a pool in a time t1 andmakes the return trip to the starting…

A: Average velocity = displacement/timeVelocity is vector and speed is scalarTaking +x axis as +ve…

Q: Given the velocity of an object and its initial position, how do you find the position of the…

A: To determine,The position(r2) of the object at t≥0.given,velocity of an object(v) and its initial…

Q: What should a graph of the position vs time look like if it shows an object moving to the left at a…

Q: The figure shows the distance versus time graph of an object. d = constant xt The acceleration of…

Q: The basketball passed through the hoop even though it barely cleared the hands of the player B who…

Q: From the information provided in the graph, corresponding to the movement of a car, determine which…

A: The correct option is b) The car starts its movement with a constant speed of 15 m / s for 2 seconds…

Q: Consider the following one-dimensional motions: (A) a ball thrown directly upward rises to a highest…

A: a) The average velocity for the thrown ball is zero because the ball returns to the straight point,…

Q: Old faithful geyser in Yellowstone national park shoots water hourly to a height of 40 meters. With…

Q: v sin 20, Q1) Show that R = for the range of a projectile on level ground by finding the time t at…

Q: The initial velocity of the bob is found to be 65 cm/s. If there are 31 dots on the ticker tape, how…

A: We know that ticker tape ticks 60 times in a second. Hence, 60 dots represent 1 second. Lets have…

Q: |An object moves with a velocity that changes uniformly from t = 0 to t = 1: T. Which of the…

Q: A student throws a set of keys vertically upward to her sorority sister, who is in a window 2.30 m…

Q: H3.6. A bullet is fired from ground level at 120 m/s in the +55° direction. The bullet hits the…

A: The given situation belongs to angular projection. Given, Initial velocity at given angle,…

Q: A ball is thrown straight up from the ground with speed v0. At the same instant, a second ball is…

A: Given data: Initial speed of ball is, v0. Height from which second ball dropped is, H.

Q: A racing car starts from rest at t= 0 and reaches a final speed v at time t. If the acceleration of…

Q: On a one lane road, a person driving a car at v = 78 mi/h suddenly notices a truck 0.65 mi in front…

A: Initial speed of the car is v1 = 78 mi/h Truck is moving at a speed of v2 = 41 mi/h Distance…

Q: A particle moves along the x-axis so that it’s position at any time t≥0t≥0 is given by…

Q: The position coordinate of a particle which is confined to move along a straight line is given by "x…

Q: Velocity and acceleration of a particle at time t = 0 are u = (2î + 3j) m/s and a = (4î +2j) m/s?…

Q: Which of the following combination results in a positive displacement of an object's position? a)…

A: Displacement can be defined as the distance between the initial position and the final…

Q: The acceleration of a car is given by a(t) = A – Bt + Ct² , where A = 1.0 n 2.0 m/s*. The car is at…

A: The acceleration of the car is given as a function of time a(t) = A -Bt +Ct2 where A = 1.0 m/s2, B…

Q: A graph of position vs. time for a certain particle moving along the x-axis is shown. Find the…

A: From the graph we can se the values of x1 and x2 and t1 and t2 Formula for average velocityv =…

Q: On a one lane road, a person driving a car at v1 = 54 mi/h suddenly notices a truck 0.65 mi in front…

A: Velocity of the car (v1)=54 mph Distance between truck and car (d)=0.65 mi Velocity of the truck…

Q: A particle moves along the x-axis so that its position at time 0 < t< 18 is given by x(t), whose…

Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

As soon as a ball was allowed to fall from rest from height h, a second ball was thrown upwards from the ground in the vertical direction. For two balls to meet at height h / 2, what should the initial velocity of the second ball be?
Two stones are thrown vertically up with the initial velocity v0, second stone with a time delay t0 with respect to the first one. At which time after the beginning of the motion the two stones will collide? Is this scenario possible for any v0 and t0? What are the limitations?
Under which of the following conditions is the magnitude of the average velocity of a particle moving in one dimension smaller than the average speed over some time interval? (a) A particle moves in the +x direction without reversing. (b) A particle moves in the x direction without reversing. (c) A particle moves in the +x direction and then reverses the direction of its motion. (d) There are no conditions for which it is true.
A projectile is launched on the Earth with a certain initial velocity and moves without air resistance. Another projectile is launched with the same initial velocity on the Moon, where the acceleration due to gravity is one-sixth as large. How does the range of the projectile on the Moon compare with that of the projectile on the Earth? (a) It is one-sixth as large. (b) It is the same. (c) It is 6 times larger. (d) It is 6 times larger. (e) It is 36 times larger.
A particle moves down a horizontal route that begins 5 feet to the right of a specific point P with an initial velocity of 4 feet per second. Another particle is going along the same route, beginning 3 feet to the left of P with an initial velocity of 8 feet per second. Consider that the accelerations of the two particles are a1(t) = 2t 3 and a2(t) = 2t 5, respectively. Will the particles collide? Justify your response
When a ball was allowed to fall from rest from height h, a second ball was thrown up from the ground in the vertical direction. For two balls to meet at height h / 2, what should be the initial velocity of the second ball?
Most important in an investigation of an airplane crash by the U.S. National Transportation Safety Board is the data stored on the airplane’s flight-data recorder, commonly called the “black box” in spite of its orange coloring and reflective tape.The recorder is engineered to withstand a crash with an average deceleration of magnitude 3400g during a time interval of 6.50 ms. In such a crash, if the recorder and airplane have zero speed at the end of that time interval, what is their speed at the beginning of the interval?
Suppose that a ball is thrown straight up in the air, and that a secondball is thrown straight upward two seconds after the first. It reaches thesame maximum height as the first ball, which is 6.00 m.a. What is the position of the first ball as a function of time, y1(t)?Take the initial height of the ball as y0 = 0.b. What is the position of the second ball as a function of time, y2(t)?Take the initial height of the ball as y0 = 0.c. Draw a y − t diagram of y1(t) and y2(t). Label the max heights, timeto max height for the first ball, and note the point corresponding to thetime and height of passing.d. When do the balls pass each other in the air? Assume the balls arebeing throw up adjacent to each other.e. At what height above y0 = 0 do the balls pass each other?f. Can you find the time of passing by just using the y − t diagram?
On a one lane road, a person driving a car at v1 = 58 mi/h suddenly notices a truck 1.1 mi in front of him. That truck is moving in the same direction at v2 = 35 mi/h. In order to avoid a collision, the person has to reduce the speed of his car to v2 during time interval Δt. The smallest magnitude of acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. 1. Use the expressions you entered in parts (c) and (f) and enter an expression for a in terms of d, v1, and v2. a = ( v2 - v1 )/Δt Δt = ( 2 ) ( d )/( v1 - v2 ) 2. Calculate the value of a in meters per second squared.
At time t=0, a body has a velocity of 5 meters per second, EASTWARD; at time t=2 seconds, its velocity is 7 meters per second WESTWARD. What is the MAGNITUDE of the body's average acceleration?
On a one lane road, a person driving a car at v1 = 54 mi/h suddenly notices a truck 0.65 mi in front of him. That truck is moving in the same direction at v2 = 35 mi/h. In order to avoid a collision, the person has to reduce the speed of his car tov2 during time interval Δt. The smallest magnitude of acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. Refer to the ﬁgure. Part (a) Enter an expression, in terms of deﬁned quantities, for the distance, Δx2, traveled by the truck during the time interval Δt. Part (b) Enter an expression for the distance, Δx1, traveled by the car in terms of v1, v2 and a. Part (c) Enter an expression for the acceleration of the car, a, in terms of v1, v2, and Δt.
On a one lane road, a person driving a car at v1 = 54 mi/h suddenly notices a truck 0.65 mi in front of him. That truck is moving in the same direction at v2 = 35 mi/h. In order to avoid a collision, the person has to reduce the speed of his car tov2 during time interval Δt. The smallest magnitude of acceleration required for the car to avoid a collision is a. During this problem, assume the direction of motion of the car is the positive direction. Refer to the ﬁgure. The expression, in terms of deﬁned quantities, for the distance, Δx2, traveled by the truck during the time interval Δt is deltax2= v2 times delta t. Part (b) Enter an expression for the distance, Δx1, traveled by the car in terms of v1, v2 and a. Part (c) Enter an expression for the acceleration of the car, a, in terms of v1, v2, and Δt. (d) enter an expression for delta x1 in terms of delta x2 and d when the drive just barely avoids collision.