The velocity of a hawk flying straight down towards its prey
The velocity of a hawk flying straight down towards its prey is v(t)= -3t, where t is the number of seconds since it started flying straight down. If they hawk starts flying from 200 feet, i.e. h(0)= 200, what is the height h at t seconds?
Solution
v(t)= -3t h(t)=3t^2/2+c 3/2 (0)+c=200 ==>h(t)=3t^2 /2+200