Question 1

A car moves along a straight road such that its position as a function of time is given by $$x(t) = 4t^2$ + 2t ($$where $$x is in $$meters and $$t in $$seconds). What is the car's instantaneous velocity at $$t = 3 s$$?

Accepted Answer

$$v = 26 m/s$$

Question 2

Which of the following statements about the slope of a position-versus-time ($$x vs$$ $$t) $$graph is correct?

Accepted Answer

The slope represents the object's velocity.

Question 3

A runner accelerates uniformly from rest to a velocity of $$8 m/s in$$ $$4$$ seconds. What is the runner's acceleration?

Accepted Answer

$$a = 2 m/s$^2$$

Question 4

A student walks to school and her position-versus-time graph is a straight line with a positive slope. What does this indicate about her motion?

Accepted Answer

She is moving at a constant velocity in the positive direction.

Question 5

A car traveling at $$20 m/s $$comes to a stop in $$4$$ seconds with constant acceleration. What is the magnitude of its acceleration?

Accepted Answer

$$a = 5 m/s$^2$$

Question 6

Which kinematic equation would you use to find the displacement of an object moving with constant acceleration, given initial velocity, time, and acceleration?

Accepted Answer

$$x_f = x_i + v_i \Delta t + \frac{1}{2} a (\Delta t)^2$

Question 7

A ball is dropped from rest from a height of $$45 m. $$Ignoring air resistance, how long does it take to reach the ground? (Use $$g = 9.8 m/s$^2)$$

Accepted Answer

$$t = 3.03 s$$

Question 8

A velocity-versus-time graph for a car shows a straight line with a negative slope. What does this indicate about the car's motion?

Accepted Answer

The car is slowing down with constant acceleration.

Question 9

A Boeing 747 accelerates at $$2.6 m/s$^2$$ from rest to a takeoff speed of $$70 m/s. $$What minimum length of runway is required for takeoff?

Accepted Answer

$$940 m$$

Question 10

Which of the following best describes free fall?

Accepted Answer

Motion under the influence of gravity only, with constant acceleration $$g$$ downward.

Question 11

A lion accelerates from rest at $$9.5 m/s$^2$$ for $$1$$ second. What is its final speed?

Accepted Answer

$$9.5 m/s$$

Question 12

If the area under a velocity-versus-time graph represents displacement, what does the area under an acceleration-versus-time graph represent?

Accepted Answer

Change in velocity

Question 13

A car starts from rest and accelerates uniformly at $$3 m/s$^2$$ for $$5$$ seconds. What is its displacement during this time?

Accepted Answer

$$37.5 m$$

Question 14

A rock is thrown straight up with an initial velocity of $$20 m/s. $$What is its velocity when it returns to the point from which it was thrown? (Ignore air resistance and use $$g = 9.8 m/s$^2)$$

Accepted Answer

$$-20 m/s$$

Question 15

Which of the following is true about the acceleration due to gravity $$g on $$Earth?

Accepted Answer

$$g is $$always positive and points downward.

Question 16

A car is moving to the right and slowing down. What is the direction of its acceleration?

Accepted Answer

To the left (opposite to the direction of motion)

Question 17

A student analyzes a velocity-versus-time graph and finds the slope is zero. What does this indicate about the object's motion?

Accepted Answer

The object is moving at constant velocity.

Question 18

A car travels at $$15 m/s $$and comes to a stop in $$1.5 s. $$What distance does it travel while stopping?

Accepted Answer

$$11 m$$

Question 19

Which of the following equations relates final velocity, initial velocity, acceleration, and displacement for constant acceleration?

Accepted Answer

$$(v_f)^2$ = (v_i)^2$ + 2a \Delta x$$

Motion in One Dimension: Physics with Algebra Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards