Question

1) You roll a ball up a ramp of length L and measure the amount of time for the ball to reach the top of the ramp to be At. Determine the magnitude of the acceleration of the ball in terms of the variables L and At only. (The symbolic answer for the magnitude of the acceleration will not contain the initial speed or the angle of incline.) For the physical representation (part 2a), draw a motion diagram and graphs of position, velocity, and acceleration vs. time. As part of the reflection (part 4a), give a physical explanation for how the acceleration depends on L and At. 2) A large cylinder rolls along flat, level ground. Because of substantial air resistance and varying amounts of friction, its speed decreases in a complicated way. Its speed as a function of time is v at2 + bt + c, where v is measured in m/s, t is never negative and is measured in s, a -- 2.00 m/s3, b 2.00 m/s2, and c 12.0 m/s. How far does the cylinder move (in meters) from t O s until it comes to rest? For the physical representation (part 2a), draw an accurate and complete graph of speed vs. time.

Answer 1

length the ramp-L Tine for the ball to rach thu,,ramp = at distane th acautarition (At) 2 (4t)