Question

The acceleration of a certain rocket is given by a_x= bt, where b is a positive constant.

(a) Find the position function x(t) if x = x₀ and v₀ at t = 0. (Use the following as necessary: x₀, v₀, b, and t.)
x(t) =

(b) Find the position and velocity at t = 7.9 s if x₀ = 0, v₀ = 0 and b = 3.3 m/s³.
x(7.9 s) =  m
v(7.9 s) =  m/s

(c) Compute the average velocity of the rocket between t = 7.4 s and 8.4 s at t = 7.9 s if x₀ = 0, v₀ = 0 and b = 3.3 m/s³.
v_avg =  m/s
Is this average velocity in good agreement with the instantaneous velocity at t = 7.9 s?

Answer 1

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