- #1

jesstryin

- 8

- 0

## Homework Statement

Hi everyone, my problem is this:

Darryl drives his load of tomatoes 14.0 km [E], 6.0 km [N], 12.0 km [ N 15° E], and then 2.0 km [N 65° E]. This takes him 42 minutes.

a) Calculate Darryl's distance and displacement. Draw a diagram and show your work.

b) Calculate Darryl's average speed and average velocity (record your answer in m/s).

## Homework Equations

sinb/b =sinC/C

## The Attempt at a Solution

A. 14 km + 6.0 km + 12.0 km + 2.0 km = 34 km

Total Distance is 34 km = 34,000 m

D (east) = 14 + 12 * sin15 + 2 * sin65 = 18.9 km

D (north) = 6 + 12 * cos15 + 2 * cos65 = 18.4 km

C2 =√ a2 + b2

D = √(18.9km² + 18.4km²)

= 26.4 km

My problem is that I think I miscalculated the displacement (east), for the speed and velocity calculation I did this:

B.

Vav (speed) = 34km / 42 min = 34,000 m / 2520 s

Vav= 13.49 or 13.5 m/s

Vav = 26.4 km / 42 min = 26,400 / 2520

Vav (velocity) = 10.47 or 10.5 m/s

I just need clarification for displacement, so that I can accurately calculate the velocity.