Answered: An object moves according to the…

An object moves according to the parametric equations: x=100/t , y=t^7. Round each of the following to 2 decimal places. 1. Calculate the object's velocity after 10 seconds. Magnitude=

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Vectors And Two-Dimensional Motion

Section: Chapter Questions

Problem 5WUE: A hiker walks 3.00 km north and then 4.00 km west, all in one hour and forty minutes, (a) Calculate...

See similar textbooks

Related questions

Q: The y-coordinate of a particle in curvilinear motion is given by y = 11.3+³ - 11.7t, where y is in…

Q: A diver explores a shallow reef off the coast of Belize. She initially swims d1 = 82.7 m north,…

Q: athlete performing a long jump leaves the ground at a 31.8 ∘∘ angle and lands 7.65 mm away. What…

Q: A car drives around a circular track of diameter 156 m at a constant speed of 33.0 m/s. During the…

A: Given: Velocity, v=33 m/sDiameter, d=156 mAngle, θ=102° It is required to determine the magnitude…

Q: A projectile is launched over level ground so that its initial velocity has components (Vx = 40 m/s,…

Q: Assume the dog was at a postion x1 = 32 mm and y1 = 37 mm at time 12.0 s when its velocity…

A: Given At time t = 12.0 sPosition x1 = 32 mm y1 = 37mmVelocity Vx = 2.8 m/s Vy…

Q: You walk for 6.44 km with at a constant velocity of 2.53 m/s due west, turn around, and then walk…

Q: SP paac 35.0° (a) What is the acceleration when the car is at B located at an angle of 35.0°?…

A: Given : Distance = 254 m Time = 32 s

Q: 2. For a velocity vs. time plot (v vs. t): f. position (location along the meter stick) is given by:…

A: f) Velocity V=dsdt V= dsdt ds= Vdt S= ∫ v.dtdisplacement is area…

Q: An object is initially moving in the x-direction at 3.7 m/s when it undergoes acceleration in the…

Q: An object is moving with an initial velocity of 5.8 i m/s and a final velocity 13.8 i m/s. The time…

Q: A car drives around a circular track of diameter 102 m at a constant speed of 34.8 m/s. During the…

Q: An open vessel of water accelerates up to a 30° plane at 3 m/?2. What is the vertical component of…

Q: A biker travelled 270.0 meters 42° N of E to point A, then 80.0 meters west to point B, and finally,…

A: As per given data we have the diagram as shown below.

Q: A jetliner is moving at a speed of 245 m/s. The vertical component of the plane's velocity is 40.6…

Q: A car drives around a circular track of diameter 144 m at a constant speed of 49.4 m for a second.…

A: Total acceleration of the car during a circular motion is given as a=ac2+at2…

Q: Magnitudes and Direction: Point A to B = 5m, N Point B to C = 10m, E Total Distance = ?…

Q: particle moves with an acceleration a = -6v, where a is in ft/sec^2 and v in ft/sec. When t = 0 sec,…

Q: An object is snot upwards from ground level with an initial velocity of 3 meters per second; it is…

Q: An object is launched at a velocity of 37 m/s in a direction making an angle of 30° upward with the…

Q: A train at a constant 71.0 km/h moves east for 47.0 min, then in a direction 53.0° east of due north…

Q: The speed of a particle moving in a circle of radius 2.0 m increases its speed constantly at a rate…

A: The total acceleration acting on the particle in a circular motion is:

Q: particle travels in a circle of radius 11 m at a constant speed of 26 m/s. What is the magnitude of…

A: Given Radius of circle is R=11 m Constant speed is v=26 m/s

Q: A particle leaves the origin with initial velocity vo = 1li + 18j m/s, undergoing constant…

A: the direction of motion is given by the velocity components.

Q: A student drives 10 km to the north and then 20 km 30 degrees Sof E. By using the component method,…

A: first leg of motion = 10 km due north second leg of motion = 20 km @30o south of east

Q: Wanda throws the power stone vertically upwards with an initial velocity of 21.77 m/s. Determine the…

A: Write the given values with the suitable variables. u=21.77 m/sa=-g=-9.8 m/s2 Here, u is the initial…

Q: when the projection angle equals (MCQ) art I For Q1) & Q2) The histogram shown beside, gives the…

A: Q.(1 ) Distance travelled in time interval [0.2 ; 0.4] s will be equal to area under v-t diagram .…

Q: An object moving at constant speed v around a circle of radius r has an acceleration a directed…

A: Given: An object’s speed is v. The radius is r. Acceleration is a.

Q: The diagram on the above shows the initial velocity of an object. The magnitude of the initial…

A: Given Data: The magnitude of the initial velocity is, v0=40 m/s The angle from the horizontal axis…

Q: In a laboratory test of tolerance for high acceleration, a pilot is swung in a circle 15.0 m in…

A: a)The required acceleration is,

Q: If a driver is initially going 35.5m/s to the left and then slams on the brakes to accelerate at a…

A: SOlution: Given that initial velocity u = 35.5 m/s acceleration = 3.8 m/s2

Q: . A web page designer creates an animation in which a dot on a computer screen has position 7 = [4.0…

Q: A boat on the shore wants to cross the 20 m wide river perpendicular to the current at 4 m / sec.…

Q: A ball swings counterclockwise in a vertical circle at the end of a rope 1.50 m long. When the ball…

A: Given: Length of the rope = 1.50 m The angle of the ball = 36.90

Q: A boat searching for underwater archaeological sites in Palawan sea moves at 4 knots and follows the…

A: Write the given values with the suitable variables. r=10θθ=2πv=4 knots=4×1852×13600 m/s=2.06 m/s…

Q: A girl is riding her bicycle due north in a straight line at speed of 13.8 m/s and slows down to a…

A: Given data: Initial velocity (Vi) = 13.8 m/s Final velocity (Vf) = 9.2 m/s Time (t) = 7 s

Q: IXXIU A velocity has magnitude 19 m/s and points downward. For a traditional x-y coordinate system,…

Q: particle is moving in a circular path with v = 8t m/s, where "t" is in seconds. If the circumference…

Q: An object moving at constant speed v around a circle of radius r has an acceleration a directed…

A: Given information: The speed of the object is increased by 20.5 %

Q: An antelope moving with constant acceleration covers the distance 65.0 mm between two points in time…

A: distance moved (d) = 65 m Time taken (t) = 7 secfinal velocity (v) = 16 msLet initial velocity = u…

Q: At a certain instant, the magnitude of velocity and acceleration of a point shown below are V = 10.0…

A: The diagram of the system is as shown below: The radial…

Q: A man in a train travelling 20 km/h directly east observes a bird flying outside the train. If the…

A: Speed of train=20 km/h due east Bird speed seeing from train=10 km/h due north

Q: Vector Velocity (m/s) Vx Vy 125 km/h SE 64 km/h 18° S of W 141 km/h 25°W of S 84 km/h 82° S of E 150…

Q: body covering the whole 32pi-meter circumference of a circular path for 45 seconds travels at a…

Q: A robot arm moves so that P travels in a circle about Point B, which is not moving. Knowing that P…

A: Given data: The tangential acceleration of P is at=5 mm/s2. Distance between P and B is r=0.8 m.

Q: Which of the following are examples of velocities? a. +54 m/s. b. 60 miles/hour. c. 70 miles/hr…

A: Velocity is defined as the rate of change of displacement. It is a vector quantity.

Q: 1. Which of the following frames of reference do the laws of physics apply? C. moving in a circular…

A: Ques:

Q: all mailbag is released from a helicopter that is descending steadily at 1.33 m/s. (a) After 5.00 s,…

Question

An object moves according to the parametric equations: x=100/t , y=t^7.

Round each of the following to 2 decimal places.

1. Calculate the object's velocity after 10 seconds.

Magnitude=

Velocity direction=

2. Calculate the object's acceleration after 10 seconds.

Magnitude =

Acceleration direction =

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

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

Cylinder B has a downward velocity in feet per second given by vB = 0.75t2 + 0.45t3, where t is in seconds. Calculate the acceleration of A when t = 2.46 sec. The acceleration of A is positive if downward, negative if upward.
NOT ALLOWED TO USE CENTRIPITAL ACCELERATION EQUATION, must calculate average acceleration!! A car drives around a circular track of diameter 156 m at a constant speed of 33.0 m/s. During the time it takes the car to travel 102 degrees around, what is the magnitude of the car s average acceleration? 13.96 m/s^2 6.98 m/s^2 12.19 m/s^2 0 m/s^2
From a videotape, it was observed that a pro football player kicked a football 126 ft during a measured time of 3.6 seconds. Determine the initial speed of the ball (in ft/s) and the angle at which it was kicked (in degrees). (10 pts, 5 pts each)
A person standing at the edge of a cliff throws a rock upward from a height of 350ft above ground level with an initial velocity of 65⁢ft/s. What is the velocity of impact when the rock reaches the bottom of the cliff? Round any intermediate calculations, if needed, to no less than six decimal places, and round your final answer to two decimal places. (Hint: Use h(t)=−16t2+65t+350 as the position function, where hh is in feet, tt in seconds. Ignore air resistance.)
An unidentified flying object (UFO) is observed to travel a total distance of 19000 m, starting and ending at rest, over a duration of 4.23 s. Assuming the UFO accelerated at a constant rate to the midpoint of its journey and then decelerated at a constant rate the rest of the way, what was the magnitude of its acceleration? Express your answer in g s , where 1 g = 9.81 m/s^2.
At an air show, a jet plane has velocity components vx =695km/h and vy =415km/h at time 4.35 s and vx =938km/h and vy =365km/h at time 7.52 s. Please answer A,B,C,D Thank you.
An unsuspecting bird is coasting along in an easterly direction at 4.00 mph when a strong wind from the south imparts a constant acceleration of 0.200 m/s2 . If the wind's acceleration lasts for 3.10 s , find the magnitude ?r and direction ?θ (measured counterclockwise from the easterly direction) of the bird's displacement over this time interval. Assume that the bird is originally travelling in the +?+x direction and that there are 1609 m in 1 mi . ?= ? ?= ? Now, assume the same bird is moving along again at 4.00 mph in an easterly direction, but this time, the acceleration given by the wind is at a ϕ=39.0° angle to the original direction of motion, measured counterclockwise from the easterly direction. If the magnitude of the acceleration is 0.500 m/s2 , find the displacement vector ?⃗ r→ and the angle of the displacement ?1θ1 . Enter the components of the vector, ??rx and ??ry , and the angle. Assume the time interval is still 3.10 s . ?⃗ =???̂ +???̂
An unsuspecting bird is coasting along in an easterly direction at 2.00 mph when a strong wind from the south imparts a constant acceleration of 0.300 m/s2 . If the wind's acceleration lasts for 3.40 s , find the magnitude ? and direction ?(measured counterclockwise from the easterly direction) of the bird's displacement over this time interval. Assume that the bird is originally travelling in the +? direction and that there are 1609 m in 1 mi . r=3.499m ?= 27.71∘ Now, assume the same bird is moving along again at 2.00 mph in an easterly direction, but this time, the acceleration given by the wind is at a ?=37.0° angle to the original direction of motion, measured counterclockwise from the easterly direction. If the magnitude of the acceleration is 0.300 m/s2 , find the displacement vector ?⃗ and the angle of the displacement ?1 . Enter the components of the vector, ?? and ?? , and the angle. Assume the time interval is still 3.40 s . ?⃗=???̂+???̂
If the sister's acceleration is 2.9 m/s2 in magnitude, what is the magnitude (in m/s2) of Tom's acceleration? I do not understand how you got 0.58m/s^2 as your answer
A position of a mobile that follows a rectilinear path is x (t) = 6.3t + 1.9t ^ 3 where x is in meters and t in seconds. calculate the magnitude of the position, speed and acceleration of the phone in 5.0
In a time of 2.67 h, a bird flies a distance of 86.7 km in a direction 30.2 degrees east of north. Take north to be the positive y direction and east to be the positive x direction. Express your answers in km/h. What is the x component of the bird’s average velocity? What is the y component of the bird’s average velocity?
A rabbit runs across a parking lot on which a set of coordinate axis has been drawn. The coordinates of the rabbit’s position as a function of time t are given by: x = -0.3t2 + 5t + 28 and y = 0.22t2 - 8t + 30 with t in seconds and x and y in meters. What is the velocity at t= 10 sec? A. 0.6 i + 0.4 j B. -0.2i +1.6j +30 C. -i - 3.6 j D. 4i + 2j