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Olympic sprinter Usain Bolt set the world record in the 100 meter dash with a time of 9.58 seconds. The phyics behind his performance are impressive. Physicists have modeled his position as a function of time to be as follows:
x(t)= A/k ln (A+Be ^-kt/ A+B) +B/k ln (Ae^kt + B/A+B)
where A=110 m/s, B=12.2 m/s, k=0.91 m/s. Using this information, find his acceleration when t= 0 seconds. If his mass was 86 kg at the time of the race, what was his force at t=0 seconds. What was the force from the ground on Bolt at t=0 seconds?
A 1.5 kg mass is held at rest on top of a frictionless and horizontal table. A light string loops over a pulley which is in the shape of a 10 cm radius solid disk which has a mass of 1.5 kg. What is the acceleration of the falling mass
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When four people with a combined mass of 300 kg sit down in a 2.0 103-kg car, they find that their weight compresses the springs an additional 0.65 cm. What is the frequency of the car's vibration
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