### Problems

## 5.2 Vector Addition and Subtraction: Analytical Methods

A person walks 10.0 m north and then 2.00 m east. Solving analytically, what is the resultant displacement of the person?

- $\overrightarrow{\text{R}}$ = 10.2 m, θ = 78.7º east of north
- $\overrightarrow{\text{R}}$ = 10.2 m, θ = 78.7º north of east
- $\overrightarrow{\text{R}}$ = 12.0 m, θ = 78.7º east of north
- $\overrightarrow{\text{R}}$ = 12.0 m, θ = 78.7º north of east

## 5.3 Projectile Motion

A person wants to fire a water balloon cannon such that it hits a target 100 m away. If the cannon can only be launched at 45° above the horizontal, what should be the initial speed at which it is launched?

- 31.3 m/s
- 37.2 m/s
- 980.0 m/s
- 1,385.9 m/s

## 5.4 Inclined Planes

A skier with a mass of 55 kg is skiing down a snowy slope that has an incline of 30°. Find the coefficient of kinetic friction for the skier if friction is known to be 25 N .

- $\mu k=0$
- $\mu k=0.05$
- $\mu k=0.09$
- $\mu k=\mathrm{\infty}$