Question

A rocket of mass m = 1000 kg is travelling in a straight line for a short time.The distance in metres covered by the rocket during this time is described by the function
r(t) = t3 - 3t2 + 6t
where t > 0 is the time in seconds.
(a) The kinetic energy E of the rocket is given by E = mv2/2 , where v is
the rocket's speed. Find a function that describes the kinetic energy of the rocket.
(b) Find the kinetic energy of the rocket at time t = 3 seconds.
(c) What is the distance covered by the rocket by time t = 30 seconds?
(d) Find the value of time t when the speed of the rocket is 120

Answer 1

help?

Answer 2

v=dr/dt

Answer 3

derivative of distance is called velocity

Answer 4

no chance of getting a written version? Struggling real bad

Answer 5

c my attachment

Answer 6

thank you very much

Answer 7

u r most welcome

Answer 8

if u r satisfied with my solution then u should give me a medal

Answer 9

anyway feel free to ask if u hv any confusion

Answer 10

hi are you there?
any chance you could show me another 3 follow up questions to this?
(e) Find a function that describes the acceleration of the rocket.
(f) Find the acceleration of the rocket at t = 3 seconds.
(g) Find the time when the rocket's acceleration is 27 ms-2.