May 2021 1 205 Report
A frictionless toy car is placed on a ramp, which is inclined at an unknown angle πœƒ?

A frictionless toy car is placed on a ramp, which is inclined at an unknown angle πœƒ with respect to the horizontal. Starting from rest, the car is allowed to roll freely down the ramp. After time 𝑑, the car has traveled a distance 𝑃 down the ramp and is moving with speed 𝑉f.

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 car’s final velocity, points from the car’s front parallel to the ramp’s surface towards the bottom of the ramp. A faded image of the car, representing the car’s initial position, is at the top of the ramp. The distance parallel to the ramp’s surface between the car’s initial position and the car’s current position is labeled P.

Express the speed of the car at time 𝑑 and the angle πœƒ in terms of the given variables and 𝑔, 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œƒ is

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