A particle starts from rest at time t = 0 and moves in
a straightline with variable acceleration a m/s^2 where
a = (t/5) , 0 ≤ t ≤ 5 , a = (t/5) + ((10)/t^2 ) , t ≥ 5, t being measured in seconds.
Show that the velocity is 22(1/2) m/s when t = 5 and
11 m/s when t = 10.
Show also that the distance travelled by the particle
in the first 10 seconds is (43(1/3)−10 ln 2) m.
|