Q: Which of the following equations correctly relates displacement ($$x$$), initial velocity ($$v_0$$), time ($$t$$), and constant acceleration ($$a$$)?

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

Question 1

A car starts from rest and accelerates uniformly at $$2 \ \mathrm{m/s^2$}$$ for $$5$$ seconds. What is the car's velocity at the end of this period?

Accepted Answer

$$10 \ \mathrm{m/s}$$

Question 2

Which of the following best describes the acceleration of an object moving at constant velocity?

Accepted Answer

The acceleration is zero.

Question 3

A ball is thrown vertically upward with an initial velocity of $$15 \ \mathrm{m/s}. $$Neglecting air resistance, what is the maximum height it reaches? (Use $$g = 9.8 \ \mathrm{m/s^2$})$$

Accepted Answer

$$11.5 \ \mathrm{m}$$

Question 4

Which of the following equations correctly relates displacement ($$x$$), initial velocity ($$v_0$$), time ($$t$$), and constant acceleration ($$a$$)?

Accepted Answer

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

Question 5

A runner accelerates from $$4 \ \mathrm{m/s} to$$ $$8 \ \mathrm{m/s} in$$ $$2$$ seconds. What is the runner's average acceleration?

Accepted Answer

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

Question 6

A stone is dropped from a bridge and hits the water $$2$$ seconds later. What is the height of the bridge above the water? (Use $$g = 9.8 \ \mathrm{m/s^2$})$$

Accepted Answer

$$19.6 \ \mathrm{m}$$

Question 7

Which of the following statements about velocity and acceleration is correct?

Accepted Answer

An object can have zero velocity and nonzero acceleration.

Question 8

A projectile is launched straight up with an initial velocity $$v_0. $$Which of the following best describes its velocity at the maximum height?

Accepted Answer

The velocity is zero.

Question 9

A cyclist travels at a constant speed of $$12 \ \mathrm{m/s}$$ for $$30$$ seconds. What distance does the cyclist cover?

Accepted Answer

$$360 \ \mathrm{m}$$

Question 10

Which of the following graphs best represents the motion of an object with constant positive acceleration starting from rest?

Accepted Answer

A position vs. time graph that is a parabola opening upward.

Question 11

A car moves with a constant velocity of $$20 \ \mathrm{m/s}$$ for $$10$$ seconds, then accelerates at $$2 \ \mathrm{m/s^2$}$$ for $$5$$ seconds. What is the total distance traveled?

Accepted Answer

$$275 \ \mathrm{m}$$

Question 12

Which of the following is the correct SI unit for acceleration?

Accepted Answer

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

Question 13

A ball is thrown downward from a height of $$20 \ \mathrm{m}$$ with an initial velocity of $$5 \ \mathrm{m/s}. $$How long does it take to hit the ground? (Use $$g = 9.8 \ \mathrm{m/s^2$})$$

Accepted Answer

$$1.37 \ \mathrm{s}$$

Question 14

Which of the following best describes the direction of acceleration for an object slowing down while moving to the right?

Accepted Answer

The acceleration is to the left.

Question 15

A student measures the time it takes for a ball to fall and calculates the acceleration due to gravity as $$9.6 \ \mathrm{m/s^2$}. $$Which of the following best explains the difference from the accepted value of $$9.8 \ \mathrm{m/s^2$}$$?

Accepted Answer

Experimental error or air resistance may have affected the result.

Question 16

Which of the following is NOT a vector quantity?

Accepted Answer

Distance

Question 17

A train moves with a constant acceleration and covers $$100 \ \mathrm{m} in$$ $$5$$ seconds, starting from rest. What is its acceleration?

Accepted Answer

$$8 \ \mathrm{m/s^2$}$$

Question 18

Which of the following best describes the relationship between instantaneous velocity and average velocity for an object moving with constant acceleration?

Accepted Answer

The instantaneous velocity at the midpoint in time equals the average velocity.

Question 19

A ball is thrown straight up and returns to the thrower's hand after $$4$$ seconds. What was the initial velocity of the ball? (Use $$g = 9.8 \ \mathrm{m/s^2$})$$

Accepted Answer

$$19.6 \ \mathrm{m/s}$$

Question 20

Which of the following is the correct definition of displacement?

Accepted Answer

The change in position of an object, including direction.

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