Physics Test 1

A car slows down with an acceleration that has a magnitude of 3.3 m/s². While doing so, it travels 109 m in the +x direction and ends up with a velocity of +7.5 m/s. What was the car's initial velocity? Number i Units VO a +X

A jogger jogs around a circular track with a diameter of 225 m in 16.0 minutes. What was the jogger's average speed in m/s? m/s What is the magnitude of the jogger's average velocity (in m/s)? m/s

An athlete is training on a 100 m long linear track. His motion is described by the graph of his position vs. time, below. For each segment of the graph, find the magnitude and direction of the athlete's velocity. magnitude vA _______ m/s   direction vA(Pick from the following choices)- Positive x- Negative x- The magnitude is zero   magnitude vB _______ m/s   direction vB(Pick from the following choices)- Positive x- Negative x- The magnitude is zero   magnitude vC _______ m/s   direction vC(Pick from the following choices)- Positive x- Negative x- The magnitude is zero magnitude vD _______ m/s   direction vD(Pick from the following choices)- Positive x- Negative x- The magnitude is zero

A vehicle accelerates down an on ramp and eventually reaches highway speed. The position of the vehicle is described by the following equation:x(t) = At2/(t+B) Write an expression for the vehicle’s instantaneous velocity as a function of time. What is the vehicle’s velocity after accelerating for 7 seconds? The equation’s parameters are as follows. A = 31 m/s B = 25 s   Determine the value of the vehicle’s velocity after it has been accelerating for a long time. The equation’s parameters are as follows. A = 31 m/s B = 25 s

An antelope moving with constant acceleration covers the distance 65.0 mm between two points in time 7.00 ss. Its speed as it passes the second point is 16.0 m/sm/s. What is its speed at the first point? Express your answer with the appropriate units. v =     What is the acceleration? Express your answer with the appropriate units. a=

A ball is thrown straight down with an initial speed of 2.0 m/s from a height of 15 m. What is the position of the ball after 3.0 s, in meters? Use g = 9.8 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement

An object's acceleration is given by the equation a(t) = −4sin(4t), m/s². The object starts from rest. Write the function for its velocity v(t) Write the function for its displacement s(t) Find the displacement the object has traveled in the first one second. Enter solution with 3 decimal places. Displacement = Find the total distance the object has traveled in the first one second. Enter solution with 3 decimal places. Total distance = Check metres metres

An object's acceleration is given by the equation a(t) = −4sin(4t), m/s². The object starts from rest. Write the function for its velocity v(t) Write the function for its displacement s(t) Find the displacement the object has traveled in the first one second. Enter solution with 3 decimal places. Displacement = Find the total distance the object has traveled in the first one second. Enter solution with 3 decimal places. Total distance = metres metres

You throw a ball off a cliff at t = 0. Its motion is described by this position vector = 40 mj + (5 m/s)ti - (4.9 m/s²)t² j. How far from the bottom of the cliff will it hit water? Express your answer to two significant figures and include the appropriate units. HA Value Units = 1 Submit Request Answer

A polar bear starts at the North Pole. It travels 1.0 km south, then 1.0 km east, and then returns to its starting point. This trip takes 0.75 hr. a) What was the bear's average speed? b) What was the bear's average velocity?

distance (m) time (sec) 0 0 25.9 51.8 77.7 104 10.1 14.3 17.5 20.2 Midpoint change in time (sec) time (sec) N/A N/A 10.1 5.1 Midpoint velocity (m/s) 2.6 ? A student records this distance and time data for a METRA train. Enter into a spreadsheet and complete the table. What is the trains velocity when the (middle of) the 3rd car passes you? Give your answer in m/s to 2 significant figures (ONE decimals place in this situation).

Question 1 What is the negative, real value of x that solves this equation? 4x² - 13 = -2x² + 7x Question 2 Question 3 An arrow is shot straight up in the air, from Earth's surface, at an initial speed of 15.0 m/s. We want to find how much time it takes until it is moving downward at 8.00 m/s. Which of the following equations has the variables we need to do this? 0--2a4y Ov=at +1 O Ayat² + vot Ov=vot +

The motion of a cyclist is represented by the position - time graph below. A, B, C, D, E and F represent points along the cyclist's journey. x(m) 4 D E 300 250 200 150 100 50 A F 20 40 60 80 100 (s) a) What is the velocity of the cyclist between A and B? b) Describe the motion of the cyclist between B and C.

An object has an acceleration defined by the equation a=5t+4 (m/s^2) where "t" is in seconds. The initial velocity of the object is -10 m/s and started at a position s = 40m. 1. What is the initial magnitude of the acceleration of the object? Express your answer in unit of m/s^2 2. What is the velocity of the object after 4s? Express your answer in unit of m/s. 3. What is the position of the object after 4s? Express your answer in unit of m.

The velocity vx (in m/s) of an object is given by the equation vx = 4t + 3, where t is the time in seconds.   Part A The displacement of the object between t = 1 s and t = 2 s is: 9 m 14 m 5 m 7 m     Part B The acceleration of the object at t = 2 s is: 11 m/s2 14 m/s2 7 m/s2 4 m/s2

The motion of an archer's arrow is captured using a motion detector and displayed on the graph shown. Use the graph to answer the following questions. 600 Right is defined as positive. Answers have a 5% tolerance to allow for estimation. 500 Describe the arrow's direction of travel: 400 right v Describe the arrow's motion: 300 moving at constant speed v 200 What is the distance traveled? m 100 What is the final speed? m/s What is the acceleration? 6 9 12 15 18 m/s2 time (s) (w) uoņisod

A car is waiting at an intersection. When the traffic light turns green, the car starts moving. After some time the car comes to rest at another traffic light. The figure below shows the velocity of the car as a function of time. v (m/s) 12 11 10 9 8 4 3 2 1 0 01 2 3 4 5 6 t(s) Submit Answer S One can clearly identify three different stages of this motion. 7 8 9 10 11 12 What is the acceleration of the car in the first stage? Tries 0/12 What is the acceleration of the car in the third stage?

Q. The diagram below shows the speed-time graph for an object. E 30 25 20 velocity (m/s) 5 9 i B D 10 20 30 40 time(s) Which of the following region has the most acceleration? a) The region from A to B c) The region from C to D b) The region from B to C d) The region from D to E

Make a motion chart for a cannonball launched with an initial speed of 20m/s. Neglect drag and the initial height of the cannonball. After the ball lands on the ground enter zero for all speeds and heights if necessary. Use regular metric units (ie. meters).

Problem 1 The velocity of a particle moving along the x axis varies in time according to the expression v = (40 – 50 t2 )  m/s where t is in seconds. Find the instantaneous velocity in km/h at t=0 and t = 2 s. Find the average acceleration in the time interval t = 0 and t = 2 s. Find the instantaneous acceleration in m/s2 at t = 2 s. Draw the velocity-time graph for the particle and show the instantaneous acceleration at t=2s on this graph. Could you kindly answer the points and explain it to me?

ANSWER NUMBER 1- i which is the acceleration of the tool during the first 2 s of the motion,

The velocity-versus-time graph for an object moving along an x-axis is shown below. The initial position of the object is xo = -10.0 m. V (m/s) 4- t (s) 4 0. a) Draw a motion diagram of the object. Be sure to label your velocity and acceleration vectors. 0. b) What are the position, velocity, and acceleration of the object at t = 3 s? You must show all %3D of your work to get full credit. c) Sketch the object's position-versus-time graph and acceleration-versus-time graph. 2.

ANSWER ALL AND SHOW COMPLETE SOLUTIONS

A car is initially at rest on a straight road. The graph shows the acceleration of the car along that road as a function of time. a (m/s/s) 4 3 2 -1 -2 -3 0 1 2 3 4 5 Submit Answer Tries 0/12 7 t (s) What is the speed of the car at t=7 s? Submit Answer Tries 0/12 6 How much distance does the car cover in the first 8 seconds? 8 9 10 11 12 Submit Answer Tries 0/12 What is the speed of the car at t=12 s? Submit Answer Tries 0/12 Determine the distance covered by the car between t=11s and t= 13 s? 13 14