Question

If S = t^3- 15/2 + t^2 + 12t +5
a) determine the time when speed is increasing/decreasing.
b) At what time velocity changes the direction.
c) time travelled in first 6 secs

Answer 1

s=t³-15/2+t²+12t+5

a ) =》ds/dt=v=3t²+2t+12=0 =》this will give when it got zero then find whether it increases on increases in time or not

b) =》dv/dt=a=6t+2=0 =》at t = 3 it becomes zero

c) put t=6 in the equation of s

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