Average Acceleration A car moving due south at 20.0 m/s enters a highway cloverl

Question

Average Acceleration

A car moving due south at 20.0 m/s enters a highway cloverleaf. The car will exit the cloverleaf to merge with westbound traffic traveling at 29.0 m/s.

The time between entering the cloverleaf and exiting to merge with westbound traffic is 22.1 s. What is the magnitude of the average acceleration of the car?

What is the direction of the average acceleration?

Question 3 options:

55.4 ° W of S

55.4° S of W

due West

34.6° S of W

34.6° N of W

A)

55.4 ° W of S

B)

55.4° S of W

C)

due West

D)

34.6° S of W

E)

34.6° N of W

Explanation / Answer

magnitude of avg aceleration =[ (29^2 +20^2)^1/2] / 22.1 = 1.59 m/s^2

tan(theta)= 29/20

theta=arc tan(29/20)

theta = angle = 55.4 degrees

a) 55.4 ° W of S is correct

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