A stone is throne vertically up from the edge of the cliff t
A stone is throne vertically up from the edge of the cliff that has the height of s in feet after t seconds
(a) determine the average velocity after the interval [0,2]
b) determine the instantaneous velocity at t=2 seconds
Solution
after time t the stone is at height s
let the initial velocity is u
so from equation of motion s=ut+(1/2 )gt2
(a) average velocity in the interval(0,2)
{S(2)-S(1)} divided by (t2-t1)= (2u-2g)/2=( u-g)
(b) ds/dt= u+gt
instantenous velocity at two second is
v = u+2g
so v=u+2g
