An object is moving along the x-axis and its position at certain periods of time were recorded. This resulted in a graph of x versus t. Which of the following cannot be obtained from this graph? O Acceleration at any instant Displacement at a certain time interval Speed at any instant. Average velocity at a certain time interval Velocity at any instant

An object is moving along the x-axis and its position at certain periods of time were recorded. This resulted in a graph of x versus t. Which of the following cannot be obtained from this graph? O Acceleration at any instant Displacement at a certain time interval Speed at any instant. Average velocity at a certain time interval Velocity at any instant

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

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 39P: A steam catapult launches a jet aircraft from the aircraft carrier John C. Stennis, giving it a...

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Compare the distance traveled of an object that undergoes a change in velocity that Is twice its initial velocity with an object that changes its velocity by four times its initial velocity over the same time period. The accelerations of both objects are constant.
A steam catapult launches a jet aircraft from the aircraft carrier John C. Stennis, giving it a speed of 175 mi/h in 2.50 s. (a) Find the average acceleration of the plane. (b) Modeling the acceleration as constant, find the distance the plane moves in this time interval.
Each of the graphs is the graph of the position function s = ƒ(t) of an object moving on a coordinate line (t represents time). At approximately what times (if any) is each object’s (a) velocity equal to zero? (b) Acceleration equal to zero? During approximately what time intervals does the object move (c) forward? (d) Backward?
A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) f(t) = t3 − 9t2 + 24t a) When is the particle moving in the positive direction? (Enter your answer using interval notation.) b) Find the acceleration (in ft/s2) at time t and after 1 second. c) Answer using interval notation- when is the particle speeding up and slowing down?
An astronaut has left the International Space Station to test a new space scooter. Her partner measures the following velocity changes, each taking place in a time interval 11.1 ss . What are the average acceleration in each interval? Assume that the positive direction is to the right.1. At the beginning of the interval the astronaut is moving toward the right along the x-axis at 15.1 m/sm/s , and at the end of the interval she is moving toward the right at 5.10 m/sm/s .2.At the beginning she is moving toward the left at 5.10 m/sm/s , and at the end she is moving toward the left at 15.1 m/sm/s .3.At the beginning she is moving toward the right at 15.1 m/sm/s , and at the end she is moving toward the left at 15.1 m/sm/s .
A van travels a distance d=28 m in the positive x-direction in a time of t=19.5 s. The van immediately brakes and comes to rest in t2=6 s. What are the van's average velocity in the horizontal direction, in meters per second, during t1? What was the acceleration, in meters per second squared, during time interval t1, assuming the van started from rest and moved with a constant acceleration? What was the van's instanteous velocity in the horizontal direction, in meters per second, when it began braking? Using the result from part (c), what was the van's horizontal component of acceleration, in meters persocod squared, during the braking period?
An object constantly accelerates from 4 m/s to 6 m/s for six seconds. How far does it go during those six seconds? An object constantly accelerates from v0 to vf during time interval t. Derive the expression for the distance traveled in terms of these three parameters.
A motor car is moving with initial velocity in the x-direction at 30 m/s. After 30 s, the car applies its brakes steadily to slow down the car to a velocity of 10 m/s in 12 s. The continues onward for 10 s more. How far in m did the car travel for the full 52 s? Report your answer to three sig figs, you don't need to write "m". HINT: Break up the problem into three stages - 30s, 12s, and the final 10s. During the 12 s, you'll need the acceleration.
For the case of freefall, explain how to calculate the total distance traveled and the instantaneous velocity for an object that is dropped from rest by applying the fundamental meaning of acceleration and by using the two equations: Vavg=(vf+vi)/2 and d=vavg*t. Is this method applicable only for the case of freefall and with an initial velocity of zero, or is it always applicable to cases where the acceleration of an object is constant and parallel, or antiparallel, to the direction of motion? Explain.
A physics student at a track meet has a radar gun which she can use to measure the speeds of the runners. Shortly after the start of one race she measures that the speed of a runner is 1.57 m/s. When the runner is 11.2 meters farther along the track, she measures the runner’s speed to be 7.87 m/s. Determine the runner’s acceleration during this interval (assuming the runner’s acceleration is constant)?
Which of the following statements are true regarding velocity-time graphs?I. The slope of a velocity-time graph is acceleration. II. The graph has a slope of zero if the object is at rest. III. A line with negative slope indicates that the object is slowing down.
The brakes on your car can slow you at a rate of 5.2 m/s2. (a) If you are going 137 km/h and suddenly see a state trooper, what is the minimum time in which you can get your car under the 90 km/h speed limit? (The answer reveals the futility of braking to keep your high speed from being detected with a radar or laser gun.) (b) Graph x versus t and v versus t for such a slowing.