6. If a car goes from 0 to 30mph with an acceleration of 9.8 m/s2, how long is i

Question

6. If a car goes from 0 to 30mph with an acceleration of 9.8 m/s2, how long is it acceler- ating for? 7. A fast sport bike can accelerate at almost 10 m/s?. If a rider is traveling at 30 km/h and accelerates at this rate for 3 seconds what will their final speed be in km/h? 8. ifthe position ofa bowig bllisiiven bythe formuls r)5+21 - s0, what is the velocity of the bowling ball as a function of time? what is the acceleration of the bowling ball as a function of time? 9. If the accelerat tion of a baseball as a function of time is given by a(t)--0.5t and it's velocity and position at t-0 are 25m/s and 5m, what is an expression for the base- ball's velocity as a function of time? what is an expression for the baseball's position as a function of time?

Explanation / Answer

Problem 6)

Given,

Initial velocity, u = 0

Final velocity, V = 30 mph = 13.41 m/s

From 1st equation of motion,

V = u + at

13.41 = 0 + 9.8 x t

Time, t = 13.41/9.8 = 1.368 sec

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