Question 1

A car accelerates from rest at a constant rate of $2.00\ \mathrm{m/s^2}$ along a straight road. What is the minimum length of runway required for the car to reach a speed of $27.8\ \mathrm{m/s}$?

Accepted Answer

$193\ \mathrm{m}$

Question 2

Which of the following statements about displacement and distance is correct?

Accepted Answer

Displacement can be negative, while distance is always positive.

Question 3

A runner moves from $x_i = 50.0\ \mathrm{m}$ to $x_f = 30.5\ \mathrm{m}$ in $2.50\ \mathrm{s}$. What is the runner's average velocity?

Accepted Answer

$-7.8\ \mathrm{m/s}$

Question 4

Which of the following is NOT a vector quantity?

Accepted Answer

Distance

Question 5

A ball is thrown upward with an initial velocity of $15.0\ \mathrm{m/s}$. Ignoring air resistance, what is the maximum height reached by the ball?

Accepted Answer

$11.5\ \mathrm{m}$

Question 6

A car slows down from $15.0\ \mathrm{m/s}$ to $5.0\ \mathrm{m/s}$ in $5.0\ \mathrm{s}$. What is its average acceleration?

Accepted Answer

$-2.0\ \mathrm{m/s^2}$

Question 7

Two balls of identical diameter but different masses are dropped from the same height at the same time in the absence of air resistance. Which hits the ground first?

Accepted Answer

Both hit the ground at the same time

Question 8

Which kinematic equation is appropriate for finding displacement when acceleration is constant and initial velocity is known?

Accepted Answer

$x = x_0 + v_0 t + \frac{1}{2} a t^2$

Question 9

A ball is thrown upward at $15.0\ \mathrm{m/s}$ from the edge of a cliff $50.0\ \mathrm{m}$ above the ground. How long is the ball in the air before hitting the ground?

Accepted Answer

$5.54\ \mathrm{s}$

Question 10

Which of the following best describes instantaneous velocity?

Accepted Answer

The slope of the tangent to the position vs. time graph at a point

Question 11

A car travels at $14\ \mathrm{m/s}$ for $0.50\ \mathrm{s}$ before braking with an acceleration of $-6.0\ \mathrm{m/s^2}$ until it stops. What is the total stopping distance?

Accepted Answer

$18.2\ \mathrm{m}$

Question 12

If the velocity of an object is zero, does it necessarily mean its acceleration is zero?

Accepted Answer

No, because the object could be changing direction or starting to move.

Question 13

A ball is thrown directly upward and another directly downward from a cliff with the same speed. Which ball hits the ground below the cliff with greater speed?

Accepted Answer

Both hit the ground with the same speed

Question 14

Which of the following is the correct expression for acceleration as the derivative of velocity?

Accepted Answer

$a = \frac{dv}{dt}$

Question 15

A position vs. time graph for an object is a straight line with a positive slope. What does this indicate about the object's motion?

Accepted Answer

The object is moving with constant positive velocity.

Question 16

A woman throws water vertically upward from a hose $1.50\ \mathrm{m}$ above the ground. She hears the water hit the ground $2.00\ \mathrm{s}$ after turning off the nozzle. What was the speed of the water as it left the nozzle?

Accepted Answer

$8.6\ \mathrm{m/s}$

Question 17

Which of the following is true about free fall near Earth's surface (ignoring air resistance)?

Accepted Answer

All objects fall with the same constant acceleration regardless of mass.

Question 18

Which equation gives the velocity of an object at time $t$ under constant acceleration?

Accepted Answer

$v = v_0 + a t$

Question 19

The area under a velocity vs. time graph represents:

Accepted Answer

Displacement

Kinematics in One Dimension: Motion, Diagrams, and Descriptions

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