A car race is taking place on the track shown. All the cars are moving at consta

Question

A car race is taking place on the track shown. All the cars are moving at constant speeds. The cars are on curved segments of the track, except for the car at point F. The car at point A has velocity vA, the car at B, vB, etc. Select all the statements that are true, e.g., ABC. If none are correct, enter N.

a) The acceleration of the car at point B is perpendicular to vB and directed toward the outside of the track.

b) The acceleration of the car at point C is perpendicular to vC and directed toward the outside of the track.

c) The track is equally curved at point A and point E. If the car at point A has twice the speed of the car at point E, its acceleration is four times that of the car at point E.

d) The acceleration of the car at point A is 0.

e) The acceleration of the car at point D is parallel to vD.

f) If all cars have equal speeds, the acceleration of car A is largest.

I could have sworn only A and C were correct, but I guess not.

I've tried A by itself as well, and that wasn't it either

Explanation / Answer

a) The acceleration of the car at point B is perpendicular to vB and directed toward the outside of the track. - True

b) The acceleration of the car at point C is perpendicular to vC and directed toward the outside of the track. - False

c) The track is equally curved at point A and point E. If the car at point A has twice the speed of the car at point E, its acceleration is four times that of the car at point E. - True

a = V^2 / R if V is doubled then a1 = 4 V^2 /R = a =4 a

d) The acceleration of the car at point A is 0. - False

e) The acceleration of the car at point D is parallel to vD. - False

f) If all cars have equal speeds, the acceleration of car A is largest. - False, car D has the greatest.

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