Question

What is the magnitude of your total displacement if you have traveled due west with a speed of 23 m/s for 135 s , then due south at 12 m/s for 295 s ?

Answer 1

Answer:

4708.78 m

Explanation:

Applying,

d = vt................ Equation 1

Where d = displacement, v = velocity, t = time

dispalcement due west

Given: v = 23 m/s, t = 135 s

Therefore,

d = 23(135)

d = 3105 m due west.

For south

Given: v = 12 m/s, t = 295 s

Therefore,

d = 12(295)

d = 3540 m

Note: The entire journey forms a right angle triangle

Total displacement = √(3105²+3540²)

Total displacement = √(9641025+12531600)

Total displacement = √(22172625)

Total displacement = 4708.78 m