A 10 kg rocket is traveling at 80 m/s when the booster engine applies a constant forward force of 60 N for 3.0 seconds. What is the resulting velocity of the rocket
To find the resulting velocity of the rocket, we can use the equation of motion:
v = u + at
Where:
v = final velocity of the rocket
u = initial velocity of the rocket
a = acceleration
t = time
Given:
u = 80 m/s (initial velocity)
a = F/m = 60 N / 10 kg = 6 m/s² (acceleration, obtained from F = ma)
t = 3.0 s (time duration)
Substituting the given values into the equation, we have:
v = 80 m/s + (6 m/s²)(3.0 s)
v = 80 m/s + 18 m/s
v = 98 m/s
Therefore, the resulting velocity of the rocket is 98 m/s.