Answer:
It takes the rocket 5.99 seconds to reach its peak.
Explanation:
From newton's equation of motion,
When the rocket is at its peak,
v = 0 m/s, acceleration due to gravity (g) = Negative.
Using
g = v-u/t.......................... Equation 1
Where g = acceleration due to gravity, v = final velocity, u = initial velocity, t = time.
Making t the subject of the equation.
t = (v-u)/g..................... Equation 2.
Given: v = 0 m/s, u = 58.8 m/s, g = -9.81 m/s²
Substituting into equation 2
t = (0-58.8)/-9.81
t = -58.8/-9.81
t = 5.99 seconds.
Thus it takes the rocket 5.99 seconds to reach its peak.