Question 1

A car starts from rest and accelerates uniformly at $$2.0\ 	ext{m/s}^2$$ for $$5.0\ 	ext{s}. $$What is the car's displacement during this time?

Accepted Answer

$$50\ 	ext{m}$$

Question 2

A ball is thrown vertically upward with an initial velocity of $$15.0\ 	ext{m/s}. $$Ignoring air resistance, what is the maximum height it reaches above the point of release?

Accepted Answer

$$11.5\ 	ext{m}$$

Question 3

A runner jogs $$100\ 	ext{m}$$ east, then $$100\ 	ext{m}$$ north. What is the magnitude of her net displacement?

Accepted Answer

$$141\ 	ext{m}$$

Question 4

A projectile is launched at an angle $$	heta$$ above the horizontal with speed $$v_0. $$What is the expression for the horizontal component of its velocity?

Accepted Answer

$$v_0$$ \cos 	heta$$

Question 5

A vector $$\vec{A}$$ has components $$A_x = 3.0$$ and $$A_y = 4.0. $$What is the magnitude of $$\vec{A}$$?

Accepted Answer

$$5.0$$

Question 6

A rocket accelerates upward at $$30.0\ 	ext{m/s}^2$$ for $$30.0\ 	ext{s}$$, then coasts upward in free fall. What is its velocity at the end of the powered ascent?

Accepted Answer

$$900\ 	ext{m/s}$$

Question 7

A child drops a toy soldier with a parachute from a window. The soldier descends at $$1.50\ 	ext{m/s}$$ for $$2.00\ 	ext{s}$$, then falls freely for $$0.900\ 	ext{s}. $$What is the total height from which the soldier was dropped?

Accepted Answer

$$8.32\ 	ext{m}$$

Question 8

A spit wad is launched vertically downward and impacts $$3.00\ 	ext{m}$$ below after $$0.500\ 	ext{s}. $$What is its impact speed?

Accepted Answer

$$8.45\ 	ext{m/s}$$

Question 9

A vector $$\vec{C} is $$the sum of $$\vec{A}$$ and $$\vec{B}$$, where $$\vec{A}$$ and $$\vec{B}$$ are perpendicular. If $$|\vec{A}| = 4$$ and $$|\vec{B}| = 3$$, what is $$|\vec{C}|$$?

Accepted Answer

$$5$$

Question 10

A bug starts $$4.00\ 	ext{m}$$ from a window, moving at $$3.00\ 	ext{m/s}$$ and accelerates uniformly, hitting the window after $$0.500\ 	ext{s}. $$What is its acceleration?

Accepted Answer

$$20.0\ 	ext{m/s}^2$$

Question 11

A runner jogs $$150\ 	ext{m}$$ due west, then $$90.0\ 	ext{m} at$$ $$30.0^\circ$$ west of south, then $$80.0\ 	ext{m} at$$ $$20.0^\circ$$ south of east. What is the magnitude of her net displacement?

Accepted Answer

$$160\ 	ext{m}$$

Question 12

A position vector is given by $$\vec{r}(t) = [20.0 - 3.00t^2$] \hat{i} + [3.00t] \hat{j} ($$with $$t in $$seconds). What is the speed at $$t = 2.00\ 	ext{s}$$?

Accepted Answer

$$25.6\ 	ext{m/s}$$

Question 13

An elevator falls freely for $$1.20\ 	ext{s}$$, then descends at constant speed for $$2.80\ 	ext{s}. $$What is the total distance descended in $$4.00\ 	ext{s}$$?

Accepted Answer

$$40.1\ 	ext{m}$$

Question 14

A pellet gun is fired vertically upward and hits the ceiling $$5.00\ 	ext{m}$$ above after $$0.400\ 	ext{s}. $$What is the impact speed?

Accepted Answer

$$10.5\ 	ext{m/s}$$

Question 15

Which of the following statements about vector addition is correct?

Accepted Answer

Vectors must be added component-wise, not by simply adding their magnitudes.

Question 16

A ball rolls down an inclined plane with constant acceleration. Which kinematic equation would you use to find its displacement if you know initial velocity, acceleration, and time?

Accepted Answer

$$x_f = x_i + v_i \Delta t + \frac{1}{2} a \Delta t^2$

Question 17

If a vector $$\vec{D}$$ has components $$D_x = -12$$ and $$D_y = 5$$, what is the angle $$	heta_D it $$makes with the positive x-axis (counterclockwise)?

Accepted Answer

$$157.4^\circ$$

Question 18

A cheetah accelerates from rest at $$8.9\ 	ext{m/s}^2$$ for $$6.00\ 	ext{s}. $$What distance does it cover?

Accepted Answer

$$131\ 	ext{m}$$

Question 19

Which of the following is the correct expression for the y-component of a vector $$\vec{C}$$ with magnitude $$C$$ and angle $$	heta_C$$ measured from the x-axis?

Accepted Answer

$$C \sin 	heta_C$$

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