Q: A projectile is launched at an angle $$\theta$$ above the horizontal with initial speed $$v_0. $$Which equation gives the maximum height $$H$$ reached by the projectile?

$$H = \dfrac{v_0$^2 \sin^2$ \theta}{2g}$$

Q: Which of the following is the correct formula for the horizontal range $$R of a $$projectile launched at speed $$v_0$$ and angle $$\theta$$ above the horizontal?

$$R = \dfrac{v_0$^2 \sin 2\theta}{g}$$

Question 1

A car moves along a straight road with a constant velocity of $$20\ \mathrm{m/s}$$ east. After $$5$$ seconds, what is its displacement from the starting point?

Accepted Answer

$$100\ \mathrm{m}$$ east

Question 2

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

Accepted Answer

Displacement is a vector quantity, while distance is a scalar quantity.

Question 3

A projectile is launched at an angle $$	heta$$ above the horizontal with initial speed $$v_0. $$Which equation gives the maximum height $$H$$ reached by the projectile?

Accepted Answer

$$H = \dfrac{v_0$^2 \sin^2$ 	heta}{2g}$$

Question 4

A ball is thrown horizontally from a $$20\ \mathrm{m}$$ high cliff with a speed of $$5\ \mathrm{m/s}. $$How long does it take to hit the ground? (Ignore air resistance)

Accepted Answer

$$2.0\ \mathrm{s}$$

Question 5

Which of the following is the correct vector equation for the displacement $$\vec{d} of an $$object moving with constant velocity $$\vec{v}$$ over time $$t$$?

Accepted Answer

$$\vec{d} = \vec{v} t$$

Question 6

A cyclist travels $$3\ \mathrm{km}$$ north, then $$4\ \mathrm{km}$$ east. What is the magnitude of the displacement?

Accepted Answer

$$5\ \mathrm{km}$$

Question 7

A car accelerates uniformly from rest at $$2\ \mathrm{m/s^2$}$$ for $$6$$ seconds. What is its final velocity?

Accepted Answer

$$12\ \mathrm{m/s}$$

Question 8

Which of the following is the correct formula for the horizontal range $$R of a $$projectile launched at speed $$v_0$$ and angle $$	heta$$ above the horizontal?

Accepted Answer

$$R = \dfrac{v_0$^2 \sin 2	heta}{g}$$

Question 9

A stone is dropped from rest from a height of $$45\ \mathrm{m}. $$What is its speed just before hitting the ground? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$29.7\ \mathrm{m/s}$$

Question 10

A car rounds a circular track of radius $$50\ \mathrm{m} at a $$constant speed of $$10\ \mathrm{m/s}. $$What is the magnitude of its centripetal acceleration?

Accepted Answer

$$2.0\ \mathrm{m/s^2$}$$

Question 11

Which of the following statements about vector addition is correct?

Accepted Answer

Vectors can be added using the tip-to-tail method.

Question 12

A boat moves at $$6\ \mathrm{m/s}$$ east in a river flowing at $$8\ \mathrm{m/s}$$ north. What is the magnitude of the boat's velocity relative to the ground?

Accepted Answer

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

Question 13

A ball is thrown upward with initial velocity $$v_0. $$Which equation gives the time $$t to $$reach maximum height?

Accepted Answer

$$t = \dfrac{v_0$}{g}$$

Question 14

A car starts from rest and accelerates at $$3\ \mathrm{m/s^2$}$$ for $$4$$ seconds. What is the total distance traveled?

Accepted Answer

$$24\ \mathrm{m}$$

Question 15

Which of the following is the correct expression for the velocity of an object under constant acceleration $$a$$ after time $$t$$, starting from initial velocity $$v_0$$?

Accepted Answer

$$v = v_0$ + a t$$

Question 16

A cyclist moves at $$10\ \mathrm{m/s}$$ for $$30$$ seconds, then at $$5\ \mathrm{m/s}$$ for $$60$$ seconds. What is the average speed for the entire trip?

Accepted Answer

$$6.25\ \mathrm{m/s}$$

Question 17

A ball moves in a circle of radius $$r at $$constant speed $$v. $$What is the direction of its acceleration?

Accepted Answer

Toward the center of the circle

Question 18

A car travels $$100\ \mathrm{m}$$ north, then $$100\ \mathrm{m}$$ east, then $$100\ \mathrm{m}$$ south. What is the magnitude of its displacement from the starting point?

Accepted Answer

$$100\ \mathrm{m}$$

Question 19

A ball is projected horizontally from a table $$1.25\ \mathrm{m}$$ high. How long does it take to reach the ground? (Use $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$0.5\ \mathrm{s}$$

Vectors and Motion in Physics: Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards