At t = 0, an automobile traveling north begins to make a turn. It follows one-quarter of the arc of a circle of radius 10.9 m until, at t = 1.56 s, it is traveling east. The car does not alter its speed during the turn.

Question

At t = 0, an automobile traveling north begins to make a turn. It follows one-quarter of the arc of a circle of radius 10.9 m until, at t = 1.56 s, it is traveling east. The car does not alter its speed during the turn.
Find the car's speed. Find the change in its velocity during the turn. Find its average acceleration during the turn.

drwls · Answer

The distance traveled in 1/4 turn is (pi/2)*R

Divide that by the time to get the the speed.

For the change in velocity, subtract one velocity vector from the other vector at right angles. They both have the same magnitude (which is the speed).

Hint: think of the hypotenuse of an isosceles right triangle

The acceleration is V^2/R