Question 1

A car accelerates uniformly from rest to a velocity of $$20\ \mathrm{m/s} in$$ $$10\ \mathrm{s}. $$What is the magnitude of its acceleration?

Accepted Answer

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

Question 2

Which of the following equations correctly relates displacement ($$x$$), initial velocity ($$v_0$$), acceleration ($$a$$), and time ($$t) $$for constant acceleration?

Accepted Answer

$$x = v_0$ t + \frac{1}{2} a t^2$

Question 3

A ball is thrown straight up with an initial velocity of $$15\ \mathrm{m/s}. $$Neglecting air resistance, how long does it take to reach its maximum height? (Take $$g = 9.8\ \mathrm{m/s^2$}$$ downward.)

Accepted Answer

$$1.53\ \mathrm{s}$$

Question 4

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 5

A projectile is launched horizontally from a $$45\ \mathrm{m}$$ high cliff with a speed of $$10\ \mathrm{m/s}. $$How far from the base of the cliff does it land? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$30.4\ \mathrm{m}$$

Question 6

Which operation is NOT valid for vectors?

Accepted Answer

Dividing one vector by another vector

Question 7

A runner moves $$100\ \mathrm{m}$$ east, then $$60\ \mathrm{m}$$ north. What is the magnitude of the displacement?

Accepted Answer

$$116\ \mathrm{m}$$

Question 8

If $$\vec{A} = 3\hat{i} + 4\hat{j}$$ and $$\vec{B} = -4\hat{i} + 3\hat{j}$$, what is $$\vec{A} \cdot \vec{B}$$?

Accepted Answer

$$0$$

Question 9

A stone is dropped from rest from a bridge and hits the water $$2.0\ \mathrm{s}$$ later. What is the height of the bridge above the water? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$19.6\ \mathrm{m}$$

Question 10

Which of the following best describes the difference between speed and velocity?

Accepted Answer

Speed is a scalar, velocity is a vector

Question 11

A car travels $$60\ \mathrm{km}$$ north and then $$80\ \mathrm{km}$$ east. What is the total distance traveled and the magnitude of the displacement?

Accepted Answer

Distance: $$140\ \mathrm{km}$$, Displacement: $$100\ \mathrm{km}$$

Question 12

Which of the following is the correct result of the vector cross product $$\vec{A} 	imes \vec{B}$$?

Accepted Answer

A vector perpendicular to both $$\vec{A}$$ and $$\vec{B}$$

Question 13

A rock is thrown horizontally from the top of a $$20\ \mathrm{m}$$ building with a speed of $$5\ \mathrm{m/s}. $$How long does it take to hit the ground? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$2.02\ \mathrm{s}$$

Question 14

Which of the following statements about acceleration is TRUE?

Accepted Answer

Acceleration is the rate of change of velocity

Question 15

A cyclist moves with a velocity of $$12\ \mathrm{m/s}$$ for $$5\ \mathrm{s}$$, then accelerates uniformly to $$20\ \mathrm{m/s} in $$the next $$10\ \mathrm{s}. $$What is the average acceleration during the acceleration phase?

Accepted Answer

$$0.8\ \mathrm{m/s^2$}$$

Question 16

A vector has components $$A_x = 6$$ and $$A_y = 8. $$What is the magnitude of the vector?

Accepted Answer

$$10$$

Question 17

Which of the following is an example of a situation where an object has zero velocity but nonzero acceleration?

Accepted Answer

A ball at the top of its trajectory when thrown straight up

Question 18

If $$\vec{A} = 2\hat{i} + 3\hat{j}$$ and $$\vec{B} = 4\hat{i} - \hat{j}$$, what is $$\vec{A} + \vec{B}$$?

Accepted Answer

$$6\hat{i} + 2\hat{j}$$

Question 19

A student walks $$3\ \mathrm{km}$$ east, then $$4\ \mathrm{km}$$ north. What is the direction of the displacement vector from the starting point?

Accepted Answer

$$53.1^\circ$$ north of east

Exam 1 Study Guide: General Physics (Motion & Vectors)

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