Question 1

A car accelerates uniformly from rest to a speed of $$40\ \mathrm{m/s} in$$ $$20\ \mathrm{s}. $$What is the magnitude of its acceleration?

Accepted Answer

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

Question 2

A runner starts at $$x=0$$ and moves with a constant velocity of $$20\ \mathrm{m/s}$$ for $$5\ \mathrm{s}. $$What is the runner's final position?

Accepted Answer

$$100\ \mathrm{m}$$

Question 3

A cyclist travels at $$18\ \mathrm{m/s}$$ for $$2\ \mathrm{s}$$, then accelerates to $$40\ \mathrm{m/s}$$ over the next $$2\ \mathrm{s}. $$What is the average acceleration during the acceleration phase?

Accepted Answer

$$5.5\ \mathrm{m/s^2$}$$

Question 4

A ball is thrown straight up with an initial velocity of $$20\ \mathrm{m/s}. $$Ignoring air resistance, what is the maximum height reached by the ball? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$10.2\ \mathrm{m}$$

Question 5

A car moves with a constant velocity of $$30\ \mathrm{m/s}$$ for $$10\ \mathrm{s}$$, then comes to a stop in $$5\ \mathrm{s}$$ with constant acceleration. What is the magnitude of the car's acceleration while stopping?

Accepted Answer

$$6\ \mathrm{m/s^2$}$$

Question 6

A train travels $$111\ \mathrm{m} in$$ $$3\ \mathrm{s}$$ with constant acceleration, starting from rest. What is the acceleration of the train?

Accepted Answer

$$7.4\ \mathrm{m/s^2$}$$

Question 7

A projectile is launched horizontally from a $$40\ \mathrm{m}$$ high cliff with a speed of $$20\ \mathrm{m/s}. $$How long does it take to hit the ground? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.86\ \mathrm{s}$$

Question 8

A car accelerates from $$0 to$$ $$40\ \mathrm{m/s} in$$ $$10\ \mathrm{s}$$, then maintains this speed for $$10\ \mathrm{s}. $$What is the total distance covered?

Accepted Answer

$$600\ \mathrm{m}$$

Question 9

A sprinter runs $$100\ \mathrm{m} in$$ $$10\ \mathrm{s}$$ with constant acceleration from rest. What is the sprinter's acceleration?

Accepted Answer

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

Question 10

A car travels at $$20\ \mathrm{m/s}$$ for $$5\ \mathrm{s}$$, then accelerates at $$2\ \mathrm{m/s^2$}$$ for $$5\ \mathrm{s}. $$What is the car's final velocity?

Accepted Answer

$$30\ \mathrm{m/s}$$

Question 11

A ball is dropped from a height of $$20\ \mathrm{m}. $$How long does it take to reach the ground? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.02\ \mathrm{s}$$

Question 12

A car starts from rest and accelerates at $$4\ \mathrm{m/s^2$}$$ for $$5\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$20\ \mathrm{m/s}$$

Question 13

A car moves with a velocity of $$30\ \mathrm{m/s}$$ and comes to rest in $$6\ \mathrm{s}$$ with constant acceleration. What is the distance covered during this time?

Accepted Answer

$$90\ \mathrm{m}$$

Question 14

A stone is thrown vertically upward with a speed of $$15\ \mathrm{m/s}. $$How long does it take to return to the thrower's hand? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.06\ \mathrm{s}$$

Question 15

A car travels $$100\ \mathrm{m} in$$ $$5\ \mathrm{s}$$ with constant velocity. What is the car's velocity?

Accepted Answer

$$20\ \mathrm{m/s}$$

Question 16

A train starts from rest and accelerates uniformly at $$2\ \mathrm{m/s^2$}$$ for $$10\ \mathrm{s}. $$What is the distance covered by the train?

Accepted Answer

$$100\ \mathrm{m}$$

Question 17

A car is moving at $$25\ \mathrm{m/s}$$ and accelerates at $$3\ \mathrm{m/s^2$}$$ for $$5\ \mathrm{s}. $$What is its final velocity?

Accepted Answer

$$40\ \mathrm{m/s}$$

Question 18

A ball is thrown downward from a height of $$40\ \mathrm{m}$$ with an initial speed of $$5\ \mathrm{m/s}. $$How long does it take to hit the ground? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.43\ \mathrm{s}$$

Question 19

A car accelerates from $$10\ \mathrm{m/s} to$$ $$30\ \mathrm{m/s} in$$ $$4\ \mathrm{s}. $$What is the acceleration?

Accepted Answer

$$5\ \mathrm{m/s^2$}$$

Question 20

A cyclist starts from rest and accelerates at $$2\ \mathrm{m/s^2$}$$ for $$6\ \mathrm{s}. $$What is the distance covered?

Accepted Answer

$$36\ \mathrm{m}$$

Kinematics and 1D Motion: Study Notes

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드