Question
A certain car can accelerate from rest to the speed v in time T seconds.
(a) If the power output of the car remains constant, how long does it take for the car to accelerate from v to 3v, in terms of T?
(b) How fast is the car moving 9T after starting, in terms of v?
(a) If the power output of the car remains constant, how long does it take for the car to accelerate from v to 3v, in terms of T?
(b) How fast is the car moving 9T after starting, in terms of v?
Answers
v=a•t
a=v/t
If the power output of the car remains constant,a=const
v(f) =v(i) +a•t1=>
3•v=v+v•t1/t
2•v=v•t1/t
t1=2t
(b) v2=a•9•t= v•9•t/t=9•v
a=v/t
If the power output of the car remains constant,a=const
v(f) =v(i) +a•t1=>
3•v=v+v•t1/t
2•v=v•t1/t
t1=2t
(b) v2=a•9•t= v•9•t/t=9•v
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