Question 1

A runner travels 400 m around a standard track, starting and ending at the same point. What is the runner's displacement?

Accepted Answer

$$0 \ \mathrm{m}$$

Question 2

Which of the following best describes the difference between distance and displacement?

Accepted Answer

Distance is the total path length traveled, while displacement is the straight-line change in position.

Question 3

An Olympic swimmer covers $$100.0 \ \mathrm{m} in$$ $$54.1 \ \mathrm{s}. $$What is the swimmer's average speed in $$\mathrm{m/s}$$?

Accepted Answer

$$1.85 \ \mathrm{m/s}$$

Question 4

A car travels $$25.0 \ \mathrm{km} in$$ $$30.0 \ \mathrm{min}. $$What is its average speed in $$\mathrm{m/s}$$?

Accepted Answer

$$13.9 \ \mathrm{m/s}$$

Question 5

A small cart is released from rest at the top of a $$2.00 \ \mathrm{m}$$ long incline at an angle of $$30.0^\circ. $$What is its speed at the bottom? (Neglect friction, $$g = 9.81 \ \mathrm{m/s^2$})$$

Accepted Answer

$$3.13 \ \mathrm{m/s}$$

Question 6

A diver jumps from a $$10.0 \ \mathrm{m}$$ high diving board. How long does it take to reach the water? (Neglect air resistance, $$g = 9.81 \ \mathrm{m/s^2$})$$

Accepted Answer

$$1.43 \ \mathrm{s}$$

Question 7

A person bounces on a trampoline and reaches a maximum height of $$2.0 \ \mathrm{m}$$ above the trampoline. What is the speed just before landing back on the trampoline?

Accepted Answer

$$6.26 \ \mathrm{m/s}$$

Question 8

A car accelerates from rest at $$2.0 \ \mathrm{m/s^2$}$$ for $$5.0 \ \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$10.0 \ \mathrm{m/s}$$

Question 9

A ball is thrown straight up with an initial velocity of $$8.0 \ \mathrm{m/s}. $$How high does it rise? (Use $$g = 9.81 \ \mathrm{m/s^2$})$$

Accepted Answer

$$3.26 \ \mathrm{m}$$

Question 10

A car travels $$10.0 \ \mathrm{miles} at$$ $$25.0 \ \mathrm{mi/h}. $$How long does the trip take in minutes?

Accepted Answer

$$24.0 \ \mathrm{min}$$

Question 11

A small cart is released from rest and travels down a $$2.00 \ \mathrm{m}$$ incline at $$30.0^\circ. $$What is the acceleration of the cart along the incline?

Accepted Answer

$$4.91 \ \mathrm{m/s^2$}$$

Question 12

A diver jumps from a $$10.0 \ \mathrm{m}$$ platform with an initial upward velocity of $$2.0 \ \mathrm{m/s}. $$How long does it take to hit the water? (Use $$g = 9.81 \ \mathrm{m/s^2$})$$

Accepted Answer

$$1.62 \ \mathrm{s}$$

Question 13

A person bounces on a trampoline and reaches a maximum height of $$2.0 \ \mathrm{m}. $$What is the total time of flight?

Accepted Answer

$$1.28 \ \mathrm{s}$$

Question 14

A car accelerates from $$10.0 \ \mathrm{m/s} to$$ $$30.0 \ \mathrm{m/s} in$$ $$5.0 \ \mathrm{s}. $$What is its acceleration?

Accepted Answer

$$4.0 \ \mathrm{m/s^2$}$$

Question 15

A ball is dropped from a height of $$20.0 \ \mathrm{m}. $$What is its speed just before hitting the ground? (Use $$g = 9.81 \ \mathrm{m/s^2$})$$

Accepted Answer

$$19.8 \ \mathrm{m/s}$$

Question 16

A car travels $$100.0 \ \mathrm{km} at$$ $$50.0 \ \mathrm{km/h}$$ and then $$100.0 \ \mathrm{km} at$$ $$100.0 \ \mathrm{km/h}. $$What is the average speed for the entire trip?

Accepted Answer

$$66.7 \ \mathrm{km/h}$$

Kinematics: Distance, Displacement, and Average Speed

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