Question 1

A car accelerates from rest at a constant rate of $$3.0\ \mathrm{m/s^2$}$$ for $$5.0\ \mathrm{s}. $$What is the final velocity of the car?

Accepted Answer

$$15\ \mathrm{m/s}$$

Question 2

A ball is thrown straight downward from the top of a building with an initial speed of $$25\ \mathrm{m/s}. It $$strikes the ground after $$2.0\ \mathrm{s}. $$How high is the building, assuming negligible air resistance? (Take $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$70\ \mathrm{m}$$

Question 3

A projectile is shot horizontally at $$23.4\ \mathrm{m/s}$$ from the roof of a building $$55\ \mathrm{m}$$ tall and experiences negligible air resistance. How long does it take for the projectile to reach the ground?

Accepted Answer

$$3.35\ \mathrm{s}$$

Question 4

A boy throws a rock with an initial velocity of $$3.13\ \mathrm{m/s} at$$ $$30.0^\circ$$ above the horizontal. How long does it take for the rock to reach the maximum height of its trajectory? (Assume $$g = 9.80\ \mathrm{m/s^2$})$$

Accepted Answer

$$0.166\ \mathrm{s}$$

Question 5

A car is traveling north at $$17.7\ \mathrm{m/s}. $$After $$12\ \mathrm{s}$$ its velocity is $$14.1\ \mathrm{m/s} in $$the same direction. What is the magnitude and direction of the car's average acceleration?

Accepted Answer

$$-0.30\ \mathrm{m/s^2$}$$, south

Question 6

Two objects are thrown from the top of a tall building. One is thrown up, and the other is thrown down, both with the same initial speed. What are their speeds when they hit the street? Neglect air resistance.

Accepted Answer

They hit the street at the same speed.

Question 7

A soccer player kicks a soccer ball in a high arc toward the opponent's goal. At the highest point in its trajectory:

Accepted Answer

The ball's acceleration points downward.

Question 8

Suppose that a car traveling to the west begins to slow down as it approaches a traffic light. Which of the following statements about its acceleration is correct?

Accepted Answer

The acceleration is toward the east.

Question 9

If a vector $$\vec{A}$$ has components $$A_x  0$$, then the angle that this vector makes with the positive x-axis must be in the range:

Accepted Answer

$$90^\circ to$$ $$180^\circ$$

Question 10

You walk $$3.3\ \mathrm{m} to $$the north, then turn $$60^\circ to $$your right and walk another $$4.5\ \mathrm{m}. $$How far are you from where you originally started?

Accepted Answer

$$6.7\ \mathrm{m}$$

Question 11

A ball is thrown with an initial velocity of $$25\ \mathrm{m/s} at an $$angle of $$30^\circ$$ above the horizontal. If air resistance is negligible, how high above the projection point is the ball after $$2.0\ \mathrm{s}$$?

Accepted Answer

$$15\ \mathrm{m}$$

Question 12

Which of the following graphs represent an object having zero acceleration?

Accepted Answer

Only graphs a and b

Question 13

Consider two vectors $$\vec{A}$$ and $$\vec{B}$$ shown in the figure. The difference $$\vec{A} - \vec{B} is $$best illustrated by:

Accepted Answer

Choice (b)

Question 14

Two displacement vectors have magnitudes of $$5.0\ \mathrm{m}$$ and $$7.0\ \mathrm{m}. If $$these two vectors are added together, the magnitude of the sum:

Accepted Answer

Could be as small as $$2.0\ \mathrm{m} or as $$large as $$12\ \mathrm{m}.$$

Question 15

A car accelerates from $$5.0\ \mathrm{m/s} to$$ $$21\ \mathrm{m/s} at a $$constant rate of $$3.0\ \mathrm{m/s^2$}. $$How far does it travel while accelerating?

Accepted Answer

$$69\ \mathrm{m}$$

Question 16

The displacement is always equal to the distance traveled only when:

Accepted Answer

The object travels in a straight line without changing direction.

Question 17

At which moment in time is the speed of the object at its greatest (refer to the velocity-time graph)?

Accepted Answer

Point B

Question 18

At which moment in time is the speed of the object equal to zero (refer to the velocity-time graph)?

Accepted Answer

Point C

Question 19

A ball is thrown straight downward from the top of a building with an initial speed of $$25\ \mathrm{m/s}. $$What is its speed after $$4.2\ \mathrm{s}$$? (Assume $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$66\ \mathrm{m/s}$$

Kinematics and Vectors: Study Notes and Practice Questions

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