Question

Suppose that a car traveling with constant speed to the west takes a 90° left turn toward south. Which of the following statements about its acceleration in the midpoint of the turn is correct? Flag question Select one: a. The acceleration is toward the north-west. b. The acceleration is toward south. c. The acceleration is toward the south-east. O d. Since the speed s constant the acceleration is zero

Answer 1

Answer:

a ) The acceleration is towards the north west .

Explanation:

Let v be the magnitude of velocity . Since car is going towards the west ( in - ve x direction ) we can represent it as vector form as follows

initial velocity u  = - v i

Then it turns towards south ( - ve y direction ) so it can be represented as follows

Final velocity = - v j

Change of velocity

= Final velocity - initial velocity

= - v j - (- v i )

Acceleration x time  =  v i - v j

It this vector makes angle θ with positive x axes

Tan θ = - v / v = -1

θ = 135 degree

Therefore acceleration is towards north west.