Answer to Question #135678 in Physics for Airiana

Question

A student fires a cannonball vertically upwards with a speed of 39m/s. Determine all unknowns and answer the following neglect drag and initial height and horizontal motion of the cannonball. What was the cannonball's maximum height? How long did the cannonball rise? What was the cannonball's total flight time?

Answer 1

The cannonball's maximum height was

$$h=\frac{v^2}{2g}=\frac{39^2}{2\cdot9.8}=77.6\text{ m}.$$

The time the cannonball rose was

$$t=\sqrt{\frac{2h}{g}}=3.98\text{ s}.$$

The cannonball's total flight time was

$$T=2t=7.96\text{ s}.$$