Q: A runner completes a 400-meter lap around a track and finishes at the starting point. Which statement best describes the runner's displacement and distance?

Displacement is $$0\text{ m}$$; distance is $$400\text{ m}.$$

Q: Which of the following statements about free fall is correct?

All objects accelerate at $$9.8\text{ m/s}^2$$ regardless of mass.

Question 1

A runner completes a 400-meter lap around a track and finishes at the starting point. Which statement best describes the runner's displacement and distance?

Accepted Answer

Displacement is $$0	ext{ m}$$; distance is $$400	ext{ m}.$$

Question 2

Which of the following quantities is a vector?

Accepted Answer

Acceleration

Question 3

A car moves east at $$20	ext{ m/s}$$ for $$10	ext{ s}$$, then west at $$10	ext{ m/s}$$ for $$10	ext{ s}. $$What is the car's average velocity over the $$20	ext{ s}$$ interval?

Accepted Answer

$$0	ext{ m/s}$$

Question 4

A ball is thrown straight upward with an initial velocity of $$12	ext{ m/s}. $$What is its velocity at the peak of its motion?

Accepted Answer

$$0	ext{ m/s}$$

Question 5

Which equation would you use to solve for displacement when initial velocity, acceleration, and time are known, but final velocity is not?

Accepted Answer

$$\Delta x = v_i t + \frac{1}{2} a t^2$

Question 6

A stone is dropped from a bridge and hits the water after $$3.0	ext{ s}. $$What is the height of the bridge? (Take downward as positive, $$a = +9.8	ext{ m/s}^2)$$

Accepted Answer

$$44.1	ext{ m}$$

Question 7

On a position–time graph, what does a straight diagonal line indicate?

Accepted Answer

Object is moving at constant velocity

Question 8

A car starts from rest and accelerates uniformly at $$4.0	ext{ m/s}^2$$ for $$6.0	ext{ s}. $$What is its final velocity?

Accepted Answer

$$24	ext{ m/s}$$

Question 9

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

Accepted Answer

Displacement

Question 10

A cyclist travels $$100	ext{ m}$$ north, then $$50	ext{ m}$$ south. What is the cyclist's displacement?

Accepted Answer

$$50	ext{ m}$$ north

Question 11

A train moves at constant velocity. Which statement about its acceleration is correct?

Accepted Answer

Acceleration is zero

Question 12

A student throws a ball downward from a balcony with an initial velocity of $$5	ext{ m/s}. If $$the ball hits the ground after $$2	ext{ s}$$, what is its impact velocity? (Take downward as positive, $$a = +9.8	ext{ m/s}^2)$$

Accepted Answer

$$24.6	ext{ m/s}$$

Question 13

Which of the following is NOT a scalar quantity?

Accepted Answer

Displacement

Question 14

A car accelerates from $$10	ext{ m/s} to$$ $$30	ext{ m/s}$$ over a displacement of $$100	ext{ m}. $$What is its acceleration?

Accepted Answer

$$2	ext{ m/s}^2$$

Question 15

On a velocity–time graph, what does a horizontal line above the time axis represent?

Accepted Answer

Object is moving at constant positive velocity

Question 16

A car travels $$60	ext{ km}$$ east in $$2	ext{ h}$$, then $$40	ext{ km}$$ west in $$1	ext{ h}. $$What is its average speed?

Accepted Answer

$$33.3	ext{ km/h}$$

Question 17

If a position–time graph shows a curve that is concave up ($$\smile$$), what does this indicate about the object's motion?

Accepted Answer

Positive acceleration

Question 18

A passenger sits in a moving train. Relative to the train, the passenger is:

Accepted Answer

Stationary

Question 19

A ball is thrown upward with an initial velocity of $$15	ext{ m/s}. $$How long does it take to reach its highest point? (Use $$g = 9.8	ext{ m/s}^2)$$

Accepted Answer

$$1.53	ext{ s}$$

Question 20

Which of the following statements about free fall is correct?

Accepted Answer

All objects accelerate at $$9.8	ext{ m/s}^2$$ regardless of mass.

One-Dimensional Motion & Kinematics: Study Guide for Physics with Algebra

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