Problem Statement: Buckaroo Banzai\'s rocket truck has passed through a mountain

Question

Problem Statement: Buckaroo Banzai's rocket truck has passed through a mountain by jumping into the eighth dimension and has returned to our regular world on the other side (this is really the opening scene of a movie...really). To slow the truck, a parachute opens causing an acceleration of 6.10 m/s2. If the truck leaves the eighth dimension and returns to our normal world traveling at 340 m/s, how long (in seconds) does Buckaroo have to wait after the parachute deploys before he can apply the truck's brakes (which will not work above a speed of 100 m/s)? How far will the car travel in this time? (Ans. t-39.34 s, x-8655 m)

Explanation / Answer

from the definition of acceleration

a = change in velocity/time taken

time = change in velocity/acceleration

t = (100-340)/-6.1

t = 240/6.1

t = 39.34 sec

b) from the relation

x = ut+1/2at^2

x = 340*39.34+1/2*(-6.1)*39.34^2 = 8654.3 m

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