Question

What is the hang time of a rocket that is launched at an angle of 45 degrees with a launch velocity of 60m/s?

Answer 1

Answer on Question #38882, Physics, Mechanics

Question:

What is the hang time of a rocket that is launched at an angle of 45 degrees with a launch velocity of 60m/s?

Answer:

Height for uniformly accelerated motion equals:

$$h = v _ {0} \sin \alpha * t - \frac {g t ^ {2}}{2}$$

where $v_{0}$ - initial velocity of the ball, $g$ - gravitational acceleration, $t$ - time.

Time when height equals 0:

$$v _ {0} \sin \alpha * t - \frac {g t ^ {2}}{2} = 0$$ $$t = \frac {2 v _ {0} \sin \alpha}{g} = 8.7 \, \text{s}$$

Answer: 8.7 s