Question 1

A car accelerates uniformly from rest to a velocity of $$20\ \mathrm{m/s} in$$ $$5\ \mathrm{s}. $$What is the car's 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 one-dimensional motion with constant acceleration?

Accepted Answer

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

Question 3

A projectile is launched horizontally from a $$45\ \mathrm{m}$$ high cliff. How long does it take to reach the ground? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$3.03\ \mathrm{s}$$

Question 4

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

Accepted Answer

$$116\ \mathrm{m}$$

Question 5

Which of the following best describes the acceleration of an object thrown straight up at its highest point?

Accepted Answer

$$-9.8\ \mathrm{m/s^2$}$$

Question 6

A ball is thrown with an initial velocity of $$15\ \mathrm{m/s} at an $$angle of $$30^\circ$$ above the horizontal. What is the initial vertical component of the velocity?

Accepted Answer

$$7.5\ \mathrm{m/s}$$

Question 7

A car travels at $$20\ \mathrm{m/s}$$ for $$10\ \mathrm{s}$$, then at $$30\ \mathrm{m/s}$$ for $$5\ \mathrm{s}. $$What is the average speed for the entire trip?

Accepted Answer

$$23.3\ \mathrm{m/s}$$

Question 8

Which of the following is a correct unit conversion for $$5\ \mathrm{km} to $$meters?

Accepted Answer

$$5\ \mathrm{km} = 5000\ \mathrm{m}$$

Question 9

A rock is dropped from rest from a height $$h. $$Which equation gives the time $$t it $$takes to reach the ground?

Accepted Answer

$$t = \sqrt{\frac{2h}{g}}$$

Question 10

A projectile is launched at $$20\ \mathrm{m/s} at an $$angle of $$45^\circ. $$What is the horizontal component of its velocity?

Accepted Answer

$$14.1\ \mathrm{m/s}$$

Question 11

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

Accepted Answer

$$2.5\ \mathrm{m/s^2$}$$

Question 12

A ball is thrown horizontally from a $$20\ \mathrm{m}$$ high building with a speed of $$5\ \mathrm{m/s}. $$How far from the base of the building does the ball land?

Accepted Answer

$$10.1\ \mathrm{m}$$

Question 13

Which of the following statements about vectors is correct?

Accepted Answer

The magnitude of a vector is always positive.

Question 14

A train moves with a constant velocity of $$40\ \mathrm{m/s}$$ for $$2\ \mathrm{min}. $$What is the distance traveled?

Accepted Answer

$$4800\ \mathrm{m}$$

Question 15

A student walks $$3\ \mathrm{km}$$ north, then $$4\ \mathrm{km}$$ east. What is the direction of the resultant displacement relative to north?

Accepted Answer

$$53.1^\circ$$ east of north

Question 16

A ball is thrown upward with an initial velocity of $$12\ \mathrm{m/s}. $$How long does it take to reach its maximum height? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$1.22\ \mathrm{s}$$

Exam 1 Study Guide: Kinematics and Vectors (Chapters 1–4)

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