Question 1

A car starts from rest and accelerates uniformly at $$2\ \mathrm{m/s^2$}$$ for $$5\ \mathrm{s}. $$What is the total distance traveled by the car during this time?

Accepted Answer

$$50\ \mathrm{m}$$

Question 2

Which of the following statements about the area under a velocity-time ($$v$$-$$t) $$graph is correct?

Accepted Answer

It represents the object's displacement.

Question 3

A projectile is launched with an initial velocity $$v_0 at an $$angle $$	heta$$ above the horizontal. Which equation gives the horizontal component of the initial velocity?

Accepted Answer

$$v_{0x} = v_0$ \cos 	heta$$

Question 4

A kinesin motor protein starts from rest and accelerates at a constant rate for $$4.0\ \mathrm{s}$$, then moves at constant velocity for $$6.0\ \mathrm{s}. If $$the total distance traveled is $$100\ \mu\mathrm{m}$$, what is the acceleration during the first $$4.0\ \mathrm{s}$$?

Accepted Answer

$$a = 3.1\ \mu\mathrm{m/s^2$}$$

Question 5

You throw a ball horizontally from a $$20\ \mathrm{m}$$ high cliff with a speed of $$10\ \mathrm{m/s}. $$Ignoring air resistance, how far from the base of the cliff does the ball land?

Accepted Answer

$$20.2\ \mathrm{m}$$

Question 6

A medical package is air-dropped from a plane flying horizontally at constant speed and altitude. Ignoring air resistance, what path does the package follow as seen by an observer on the ground?

Accepted Answer

It remains vertically under the plane while falling.

Question 7

A ferry can travel at $$6\ \mathrm{km/h} in $$still water. If it crosses a river with a $$4\ \mathrm{km/h}$$ current perpendicular to its heading, what is the ferry's speed relative to the ground?

Accepted Answer

$$7.2\ \mathrm{km/h}$$

Question 8

Which of the following best describes the meaning of 'relative velocity' in the context of a swimmer crossing a river?

Accepted Answer

The velocity of the swimmer as measured by an observer on the shore.

Question 9

A projectile is launched at $$11.0\ \mathrm{m/s} at an $$angle of $$39^\circ$$ above the horizontal from a height of $$2.0\ \mathrm{m}. If it $$lands $$10.0\ \mathrm{m}$$ away, what is its height above the ground when it reaches its friend?

Accepted Answer

$$3.4\ \mathrm{m}$$

Question 10

Which of the following is the correct kinematic equation for position under constant acceleration?

Accepted Answer

$$x = x_0$ + v_0$ t + \frac{1}{2} a t^2$

Question 11

A snowball is thrown north at $$10\ \mathrm{m/s}$$ towards a window $$25\ \mathrm{m}$$ away. A wind blows west, causing the snowball to hit a policeman $$5\ \mathrm{m} to $$the left of the window. What is the wind's velocity?

Accepted Answer

$$2\ \mathrm{m/s}$$ [W]

Question 12

Which of the following statements about the slope of a position-time ($$x$$-$$t) $$graph is correct?

Accepted Answer

It represents the object's velocity.

Question 13

A paper airplane is launched at $$1.7\ \mathrm{m/s}$$ towards a wall $$3.0\ \mathrm{m}$$ away. A fan blows perpendicular to the plane's path at $$1.0\ \mathrm{m/s}. $$What is the magnitude of the airplane's velocity relative to the ground?

Accepted Answer

$$1.97\ \mathrm{m/s}$$

Question 14

A runner accelerates from $$3\ \mathrm{m/s} to$$ $$8\ \mathrm{m/s} in$$ $$10\ \mathrm{s}. $$What is the average acceleration?

Accepted Answer

$$0.5\ \mathrm{m/s^2$}$$

Question 15

Which of the following is a correct strategy for solving kinematics problems involving two moving objects?

Accepted Answer

Work each part separately and then connect them to obtain the answer.

Question 16

A ferry travels $$3\ \mathrm{km}$$ across a channel in $$10$$ minutes on a calm day. If a $$4\ \mathrm{km/h}$$ current flows perpendicular to the ferry's heading, how long does it take to cross the channel?

Accepted Answer

$$0.22\ \mathrm{h}$$

Question 17

Which of the following is the correct equation for the sum of velocities in a relative velocity problem involving a swimmer crossing a river?

Accepted Answer

$$\vec{v}_{SL} = \vec{v}_{SW} + \vec{v}_{WL}$$

Question 18

A projectile is launched at an angle $$	heta$$ with initial speed $$v_0. $$Which component is responsible for the projectile's range?

Accepted Answer

$$v_0$$ \cos 	heta$$

Question 19

A cyclist rides east at $$5\ \mathrm{m/s}$$ relative to the ground. A wind blows north at $$12\ \mathrm{m/s}. $$What is the magnitude of the cyclist's velocity relative to the air?

Accepted Answer

$$13\ \mathrm{m/s}$$

Kinematics: 1D & 2D Motion, Graphing, and Relative Velocity

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