Chapter 3, Problem 13PS

(a)

To determine

The vectors $u$ and $v$ in component form, from the given figure, where vector $u$ represents skydiver’s velocity, that is, $120$ miles per hour and vector $v$ represents the wind velocity, that is, $40$ miles per hour to the east.

(b)

To determine

To graph: The resultant vector $s$, which is the sum of the magnitude of vectors $u$ and $v$.

(c)

To determine

To calculate: The magnitude of a resultant vector $s$, and also, interpret about skydiver’s fall, when vector $u$ represents skydiver’s velocity, that is, $120\text{ miles per hour}$, and vector $v$ represents the wind velocity, that is, $40\text{ miles per hour}$ miles per hour to the east.

(d)

To determine

To calculate: The angle to the path of the skydiver, which is affected by the wind velocity of $40$ miles per hour from the west direction, when the skydiver falls in the path perpendicular to the ground.

(e)

To determine

To calculate: The magnitude of a skydiver’s velocity, for a skydiver falls at a constant downward velocity of $120\text{ miles per hour}$ and a wind velocity of $30\text{ miles per hour}$.