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

The correct answer is option 'c': The acceleration is towards south east.

Explanation:

The initial velocity vector of the car is

The final velocity vector of the car is

Thus by definition of acceleration we have

From the direction of the acceleration vector we conclude that the direction is towards south east.

option (c)

Explanation:

Let the speed of car is v.

It is travelling along the west direction. So write the initial velocity of the car in vector form.

Now it takes a left turn at 90°, write the final velocity in vector form.

Acceleration is given by the rate of change of velocity, so the direction of acceleration is same as the direction of change in velocity.

The direction of the acceleration is towards south east.