Q: A projectile is launched with velocity $$v at an $$angle $$\theta to $$the horizontal. Which equation gives the range $$R$$?

$$R = \frac{v^2$ \sin 2\theta}{g}$$

Q: Which of the following is the correct expression for average velocity when acceleration is constant?

$$\text{Average velocity} = \frac{u+v}{2}$$

Q: A body is projected with velocity $$v at an $$angle $$\theta to $$the horizontal. What is the time of flight?

$$T = \frac{2v \sin \theta}{g}$$

Question 1

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

Accepted Answer

$$10\ \mathrm{m/s}$$

Question 2

Which of the following equations is NOT valid for motion with constant acceleration?

Accepted Answer

$$s = ut + at^3$

Question 3

A ball is thrown vertically upward with an initial velocity of $$10\ \mathrm{m/s}. $$What is the maximum height reached by the ball? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$5.1\ \mathrm{m}$$

Question 4

If the velocity-time graph of a particle is a straight line with a positive slope, what can you say about the acceleration?

Accepted Answer

Acceleration is constant and positive.

Question 5

A train moves with a velocity $$u$$ for half the time and with velocity $$v$$ for the other half. What is the average velocity?

Accepted Answer

$$\frac{u+v}{2}$$

Question 6

A particle moves along a straight line with an initial velocity $$u$$ and constant acceleration $$a. $$Which equation gives the displacement after time $$t$$?

Accepted Answer

$$s = ut + \frac{1}{2}at^2$

Question 7

A stone is thrown downward from a height of $$40\ \mathrm{m}$$ with an initial velocity of $$10\ \mathrm{m/s}. $$How long does it take to reach the ground? ($$g = 10\ \mathrm{m/s^2$})$$

Accepted Answer

$$2\ \mathrm{s}$$

Question 8

Which of the following best describes the shape of the position-time graph for an object with constant positive acceleration?

Accepted Answer

A parabola opening upwards

Question 9

If $$a = \frac{dv}{dt}$$ and $$v = \frac{ds}{dt}$$, what is the correct expression for acceleration in terms of $$s$$ and $$t$$?

Accepted Answer

$$a = \frac{d^2$s}{dt^2$}$$

Question 10

A car travels $$4\ \mathrm{km} at$$ $$6\ \mathrm{km/h}$$ and another $$4\ \mathrm{km} at$$ $$12\ \mathrm{km/h}. $$What is the average speed for the entire journey?

Accepted Answer

$$8\ \mathrm{km/h}$$

Question 11

A projectile is launched with velocity $$v at an $$angle $$	heta to $$the horizontal. Which equation gives the range $$R$$?

Accepted Answer

$$R = \frac{v^2$ \sin 2	heta}{g}$$

Question 12

A body moves with uniform acceleration and covers distances $$s_1$$ and $$s_2 in $$consecutive time intervals $$t. $$What is the acceleration?

Accepted Answer

$$a = \frac{s_2$ - s_1$}{t^2$}$$

Question 13

If the velocity of a particle is given by $$v = u + at$$, what is the displacement after time $$t$$?

Accepted Answer

$$s = ut + \frac{1}{2}at^2$

Question 14

A car accelerates from $$5\ \mathrm{m/s} to$$ $$25\ \mathrm{m/s} in$$ $$4\ \mathrm{s}. $$What is the acceleration?

Accepted Answer

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

Question 15

A particle moves with constant velocity. Which of the following statements is true?

Accepted Answer

Its acceleration is zero.

Question 16

A stone is thrown upwards with velocity $$u$$ from the ground. What is the time to reach maximum height?

Accepted Answer

$$t = \frac{u}{g}$$

Question 17

Which of the following is the correct expression for average velocity when acceleration is constant?

Accepted Answer

$$	ext{Average velocity} = \frac{u+v}{2}$$

Question 18

A car moves with velocity $$u$$ for distance $$l_1$$ and velocity $$v$$ for distance $$l_2. $$What is the average speed?

Accepted Answer

$$\frac{l_1$ + l_2$}{\frac{l_1$}{u} + \frac{l_2$}{v}}$$

Question 19

A body is projected with velocity $$v at an $$angle $$	heta to $$the horizontal. What is the time of flight?

Accepted Answer

$$T = \frac{2v \sin 	heta}{g}$$

1D Motion and Kinematics: Study Notes

Guida di studio - Domande di pratica

Study guide - Flashcard