Asked by me
Particle P moves in a straight line such that, t seconds after passing through a fixed point O its velocity V m/s given by the equation V=3t^2-15t+18.Find
a) the values of t for which P is instantaneously at rest
b) an expression in terms of t for the distance P from O after t seconds.
c) the total distance travelled by P in the first 4 seconds after passing point O.
d) the distance of P from O when the acceleration of P is zero.
a) the values of t for which P is instantaneously at rest
b) an expression in terms of t for the distance P from O after t seconds.
c) the total distance travelled by P in the first 4 seconds after passing point O.
d) the distance of P from O when the acceleration of P is zero.
Answers
Answered by
oobleck
(a) when v=0
(b) v = dx/dt so
x(t) = t^3 - 15/2 t^2 + 18t
(c) since x>0 for all t, just find x(4)
(d) 6t-15 = 0
so find x(5/2)
(b) v = dx/dt so
x(t) = t^3 - 15/2 t^2 + 18t
(c) since x>0 for all t, just find x(4)
(d) 6t-15 = 0
so find x(5/2)
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