A frictionless toy car is placed on a ramp, which is inclined at an unknown angle π with respect to the horizontal. Starting from rest, the car is allowed to roll freely down the ramp. After time π‘, the car has traveled a distance π down the ramp and is moving with speed πf.
A ramp inclined at an angle labeled theta has a car traveling down it. The car is almost to the bottom of the ramp. A vector labeled V subscript F, representing the carβs final velocity, points from the carβs front parallel to the rampβs surface towards the bottom of the ramp. A faded image of the car, representing the carβs initial position, is at the top of the ramp. The distance parallel to the rampβs surface between the carβs initial position and the carβs current position is labeled P.
Express the speed of the car at time π‘ and the angle π in terms of the given variables and π, the acceleration due to gravity. Your answers may or may not include all of the given variables.
Update:I got the Vf, not sure what the π is
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If there's no friction, I think the car would slide rather than rolling. But who cares, that doesn't affect the answer they want.
a = g*sin(theta), and
Vf = Vo + at
= gt*sin(theta).
Also, P = (1/2)gt^2*sin(theta),
but they didn't ask...