Chapter 1, Problem 9P

A model rocket is fired in the vertical plane. The velocity v(t) is measured as shown in Fig. P1.9. The velocity satisfies the equation $v\left(r\right)=v_0+at$. where v₀ is the initial velocity of the rocket in ft/s and a is the acceleration in ft/s².

(a) Given the data in Fig. P1.9, find the equation of the line representing the velocity v(t) of the rocket, and determine both the initial velocity v₀ and the acceleration a.

(b) Sketch the graph of the line v(t) for $0\le t\le 10$ seconds, and clearly indicate both the initial velocity and the acceleration on your graph. Also determine the time at which the velocity is zero (i.e. the time required to reach the maximum height).