Exam 2: Motion in One Dimension

At the instant a traffic light turns green, a car that has been waiting at the intersection starts ahead with a constant acceleration of 2.00 m/s². At that moment a truck traveling with a constant velocity of 15.0 m/s overtakes and passes the car. (a)Calculate the time necessary for the car to reach the truck. (b)Calculate the distance beyond the traffic light that the car will pass the truck. (c)Determine the speed of the car when it passes the truck.

If the velocity of an object is zero at one instant, what is true about the acceleration of that object? (There could be more than one correct choice.)

A ball is thrown straight up with a speed of 30 m/s, and air resistance is negligible. (a)How long does it take the ball to reach the maximum height? (b)What is the maximum height reached by the ball? (c)What is its speed after 4.2 s?

Suppose that an object is moving with a constant velocity. Which statement concerning its acceleration must be correct?

An object starts from rest and undergoes uniform acceleration. During the first second it travels 5.0 m. How far will it travel during the third second?

A light-year is the distance that light travels in one year. The speed of light is 3.00 × 10⁸ m/s. How many miles are there in one light-year? (1 mi = 1609 m, 1 y = 365 d)

A soccer ball is released from rest at the top of a grassy incline. After 6.4 seconds the ball has rolled 91 m with constant acceleration, and 1.0 s later it reaches the bottom of the incline. (a)What was the ball's acceleration? (b)How long was the incline?

A package is dropped from a helicopter that is moving upward at $15 \mathrm {~m} / \mathrm { s }$ If it takes $8.0 \mathrm {~s}$ before the package strikes the ground, how high above the ground was the package when it was released? Neglect air resistance.

Under what condition is average velocity equal to the average of the object's initial and final velocity?

A bicyclist starts a timed race at $6.0 \mathrm { mi } / \mathrm { h }$ In order to win, he must average $21 \mathrm { mi } / \mathrm { h }$ Assuming constant acceleration from the start, how fast must he be traveling at the end of the race?

Two cars are traveling at the same speed and hit the brakes at the same time. Car A decelerates (decreases its velocity)at twice the rate of car B. If car A travels a distance D before stopping, how far does car B travel before stopping?

The motions of a car and a truck along a straight road are represented by the velocity-time graphs in the figure. The two vehicles are initially alongside each other at time t = 0. At time T, what is true of the distances traveled by the vehicles since time t = 0?