The height of a balloon is given by the fucntion
s(t)= -960t^2+26400t , where t= hours since lift-off and s= feet . Find the velocity of the balloon 5 hours after lift off
Working i) Differentiate the given function to get the velocity function: ds/dt = =1920t+ 26400 Then replace the value of t with 5 hours v(t)= -1920(5)+26500 v(t)= -9600+26500 V(5)= 16800 m
