The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

The rocket starts .from rest at t = 0 and travels straight up. its height above the ground as a function of time can be approximated by .s = bt2 + ct3 where b and c are constants. At t = 10 s. the rocket’s velocity and acceleration are v = 229 m/s and a = 28.2 m/s2. Determine the lime at which the rocket reaches supersonic speed (325 m/s). What is its altitude when that occurs?