a) A rocket-powered car weighs 1200 kg. Its rocket engine loses hrust as timet increases, so that the force generated is given by == 500 Vĩ N. Given that the car starts from rest, find an expression or the car's velocity as a function of time. b) How long will the car take to travel 1 km? c) How fast will the car be travelling as it passes the 1 km mark?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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(a) A rocket-powered car weighs 1200 kg. Its rocket engine loses
thrust as time t increases, so that the force generated is given by
F = 500 VE N. Given that the car starts from rest, find an expression
for the car's velocity as a function of time.
(b) How long will the car take to travel 1 km?
(c) How fast will the car be travelling as it passes the 1 km mark?
(d) What is the power being transfered by the rocket as it passes
the 1 km mark?
(e) Evaluate the work done by the rocket engine during the first
kilometre.
Transcribed Image Text:(a) A rocket-powered car weighs 1200 kg. Its rocket engine loses thrust as time t increases, so that the force generated is given by F = 500 VE N. Given that the car starts from rest, find an expression for the car's velocity as a function of time. (b) How long will the car take to travel 1 km? (c) How fast will the car be travelling as it passes the 1 km mark? (d) What is the power being transfered by the rocket as it passes the 1 km mark? (e) Evaluate the work done by the rocket engine during the first kilometre.
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