Question 1

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

Accepted Answer

$$0 m/s$$

Question 2

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

Accepted Answer

Velocity is a vector and can be negative, while speed is a scalar and always positive.

Question 3

A runner travels 100 m east, then 60 m west. What is the runner's displacement and total distance traveled?

Accepted Answer

Displacement: $$40 m $$east, Distance: $$160 m$$

Question 4

The slope of a position-versus-time graph at a specific instant gives:

Accepted Answer

The object's instantaneous velocity at that instant.

Question 5

A ball is thrown straight up. At the very top of its path, what is its acceleration?

Accepted Answer

$$-9.8 m/s$^2$$

Question 6

A car accelerates uniformly from rest to $$20 m/s in$$ $$5$$ seconds. What is its acceleration?

Accepted Answer

$$4$$ $$m/s^2$

Question 7

A velocity-versus-time graph for an object moving with constant acceleration is:

Accepted Answer

A straight line with nonzero slope.

Question 8

A drag racer starts from rest and accelerates at $$12 m/s$^2$$ for $$3$$ seconds. How far does the racer travel in this time?

Accepted Answer

$$54 m$$

Question 9

Which of the following is the correct kinematic equation for an object with constant acceleration?

Accepted Answer

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

Question 10

A ball rolls up a frictionless incline and then back down. What is the acceleration of the ball while on the incline?

Accepted Answer

$$a = -g \sin 	heta$$

Question 11

A car moves with a velocity given by $$v(t) = 4t m/s. $$What is the displacement of the car between $$t = 0$$ and $$t = 3 s$$?

Accepted Answer

$$18 m$$

Question 12

A Porsche and a Volkswagen Beetle both reach $$30 m/s$$, but the Porsche does so in $$6 s $$and the VW in $$15 s. $$What is the average acceleration of the Porsche?

Accepted Answer

$$5.0$$ $$m/s^2$

Question 13

A car travels at $$10 m/s $$for $$5 s$$, then at $$20 m/s $$for another $$5 s. $$What is the average velocity over the $$10 s $$interval?

Accepted Answer

$$15 m/s$$

Question 14

The area under a velocity-versus-time graph represents:

Accepted Answer

The object's displacement.

Question 15

A ball is dropped from rest from a height $$h. $$Neglecting air resistance, which of the following is true about the time it takes to reach the ground?

Accepted Answer

It is independent of the ball's mass.

Question 16

A car starts from rest and accelerates at $$2 m/s$^2$$ for $$10 s. $$What is its final velocity?

Accepted Answer

$$20 m/s$$

Question 17

A cyclist moves with a constant velocity of $$8 m/s $$for $$15 s. $$What is the total displacement?

Accepted Answer

$$120 m$$

Question 18

A car moves with a constant velocity of $$10 m/s $$for $$5 s$$, then comes to rest in $$2 s $$with constant acceleration. What is the magnitude of the acceleration during braking?

Accepted Answer

$$5$$ $$m/s^2$

Question 19

A ball is thrown vertically upward with an initial velocity of $$14 m/s. $$How long does it take to reach its maximum height? (Take $$g = 9.8 m/s$^2$$ downward.)

Accepted Answer

$$1.43 s$$

Kinematics in One Dimension: Physics with Calculus Study Notes

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