Question 1

An object moves with a constant velocity of $$+2\,\mathrm{m/s}$$ for $$3$$ seconds. What is its displacement after $$3$$ seconds?

Accepted Answer

$$+6\,\mathrm{m}$$

Question 2

Which of the following position vs. time graphs best represents an object moving with constant acceleration?

Accepted Answer

A parabola

Question 3

A car starts from rest and accelerates at $$2\,\mathrm{m/s^2$}$$ for $$4$$ seconds. What is its final velocity?

Accepted Answer

$$8\,\mathrm{m/s}$$

Question 4

A ball is thrown vertically upward with an initial velocity of $$5\,\mathrm{m/s}$$ from the top of a $$10\,\mathrm{m}$$ cliff. How long does it take to reach its highest point?

Accepted Answer

$$0.51\,\mathrm{s}$$

Question 5

Which kinematic equation is most appropriate for finding displacement when time is unknown, but initial and final velocities and acceleration are known?

Accepted Answer

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

Question 6

An object in free fall is dropped from rest. What is its velocity after $$3$$ seconds? (Assume $$g = 9.8\,\mathrm{m/s^2$}$$ downward)

Accepted Answer

$$-29.4\,\mathrm{m/s}$$

Question 7

A car traveling at $$16\,\mathrm{m/s}$$ west slows down at $$2\,\mathrm{m/s^2$}$$ until it stops. How far does it travel before stopping?

Accepted Answer

$$64\,\mathrm{m}$$

Question 8

Which velocity vs. time graph shows an object continually speeding up?

Accepted Answer

A graph with a straight line sloping upward

Question 9

If an object moves with no acceleration, what is the shape of its velocity vs. time graph?

Accepted Answer

A horizontal line

Question 10

A ball is thrown upward from a $$10\,\mathrm{m}$$ cliff with $$5\,\mathrm{m/s}$$ and returns to its starting height. How long does it take to return?

Accepted Answer

$$2.02\,\mathrm{s}$$

Question 11

Which equation gives the displacement for an object under constant acceleration starting at $$x_i$$ with initial velocity $$v_{i,x}$$?

Accepted Answer

$$x = x_i + v_{i,x} t + \frac{1}{2} a_x t^2$

Question 12

The area under a velocity vs. time graph represents:

Accepted Answer

Displacement

Question 13

A rock is dropped from a cliff and hits the ground after $$2$$ seconds. What is its displacement? (Assume $$g = 9.8\,\mathrm{m/s^2$}$$ downward)

Accepted Answer

$$-19.6\,\mathrm{m}$$

Question 14

Which of the following is true for an object in free fall (neglecting air resistance)?

Accepted Answer

It accelerates at $$-9.8\,\mathrm{m/s^2$}$$ regardless of its direction of motion

Question 15

A runner accelerates from $$2\,\mathrm{m/s} to$$ $$8\,\mathrm{m/s} in$$ $$3$$ seconds. What is the runner's acceleration?

Accepted Answer

$$2\,\mathrm{m/s^2$}$$

Question 16

Which kinematic equation would you use to find the final velocity of an object given its initial velocity, acceleration, and time?

Accepted Answer

$$v_f = v_i + a t$$

Question 17

A cyclist travels at $$5\,\mathrm{m/s}$$ for $$10$$ seconds, then accelerates at $$1\,\mathrm{m/s^2$}$$ for $$5$$ seconds. What is the total displacement?

Accepted Answer

$$87.5\,\mathrm{m}$$

Question 18

If the velocity vs. time graph of an object is a straight line with a positive slope, what does this indicate about the object's motion?

Accepted Answer

The object is accelerating at a constant rate

Question 19

A ball is thrown downward with an initial velocity of $$3\,\mathrm{m/s}$$ from a height of $$20\,\mathrm{m}. $$How long does it take to hit the ground? (Use $$g = 9.8\,\mathrm{m/s^2$})$$

Accepted Answer

$$1.62\,\mathrm{s}$$

Kinematic Equations of Motion: Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards