Question 1

A car moves along a straight road such that its position as a function of time is given by $$x(t) = 4t^2$ + 2t + 1 ($$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

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

Accepted Answer

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

Question 3

A ball is thrown straight up with an initial velocity of $$15 m/s. $$Neglecting air resistance, how long does it take for the ball to reach its highest point? (Take $$g = 9.8 m/s$^2.)$$

Accepted Answer

$$t = 1.53 s$$

Question 4

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

Accepted Answer

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

Question 5

A drag racer starts from rest and accelerates at $$12 m/s$^2$$ for $$5$$ seconds. How far does the racer travel in this time?

Accepted Answer

$$x = 150 m$$

Question 6

Which of the following statements about free fall is correct?

Accepted Answer

All objects in free fall near Earth's surface have the same acceleration, regardless of mass.

Question 7

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

Accepted Answer

The object is experiencing constant negative acceleration.

Question 8

A Boeing 747 accelerates at $$3.2 m/s$^2 to $$reach a takeoff speed of $$70 m/s. $$What is the minimum length of runway required for takeoff, assuming it starts from rest?

Accepted Answer

$$x = 766 m$$

Question 9

A rock is dropped from rest from a cliff and falls $$100 m $$before hitting the ground. How long does it take to reach the ground? (Use $$g = 9.8 m/s$^2.)$$

Accepted Answer

$$t = 4.52 s$$

Question 10

A springbok jumps straight up with a speed of $$7.0 m/s. $$What is the maximum height it reaches? (Use $$g = 9.8 m/s$^2.)$$

Accepted Answer

$$h = 2.5 m$$

Question 11

Which of the following best describes the area under a velocity-versus-time graph?

Accepted Answer

It represents the object's displacement.

Question 12

A car moves with a constant velocity of $$10 m/s $$for $$5$$ seconds. What is its displacement during this time?

Accepted Answer

$$x = 50 m$$

Question 13

A velocity-versus-time graph shows a horizontal line at $$v = 5 m/s. $$What does this indicate about the object's motion?

Accepted Answer

The object is moving with constant velocity.

Question 14

A cyclist starts from rest and accelerates uniformly at $$2 m/s$^2$$ for $$6$$ seconds. What is the cyclist's final velocity?

Accepted Answer

$$v = 12 m/s$$

Question 15

A car travels at $$15 m/s $$and comes to rest in $$1.5$$ seconds. What distance does it cover while stopping?

Accepted Answer

$$x = 11.25 m$$

Question 16

Which of the following is NOT a step in the recommended problem-solving approach for kinematics problems?

Accepted Answer

Guess

Question 17

A velocity-versus-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 experiencing constant positive acceleration.

Question 18

A soccer ball is kicked from $$15 m $$away from the goal and reaches the goal in $$0.5 s. A $$defender is $$5 m $$from the kicker. How much time does the defender have to block the ball?

Accepted Answer

$$t = 0.33 s$$

Question 19

A Saturn V rocket is launched straight up with a constant acceleration of $$29.4 m/s$^2. $$How fast is the rocket moving after $$150 s$$?

Accepted Answer

$$v = 4410 m/s$$

Question 20

A passenger on a free-fall ride experiences $$2.6$$ seconds of free fall. What is the passenger's speed at the end of the fall? (Use $$g = 9.8 m/s$^2.)$$

Accepted Answer

$$v = 25.5 m/s$$

Motion in One Dimension: Structured Study Notes

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