Question

What is the formula for
1. Time of flight?
2. Time taken to fall ?
3. Motion under gravity?

Answer 1

Answer Question #42741-Physics-Mechanics-Kinematics-Dynamics

What is the formula for

1. Time of flight?

2. Time taken to fall?

3. Motion under gravity?

Answer

1. Time of flight is

$$t = \frac {2 v _ {0} \sin \theta}{g},$$

where $v_{0}$ is the initial velocity, $v_{0} \sin \theta$ is the component of initial velocity along y-axis, $g$ is the acceleration due to gravity.

2. Time taken to fall is

$$t = \sqrt {\frac {2 h}{g}},$$

where $h$ is initial height of a body, $g$ is the acceleration due to gravity.

3. The equations of motion under gravity

$$\left\{ \begin{array}{l} v = u - g t \\ s = u t - \frac {g t ^ {2}}{2} \end{array} \right.$$

where $v$ is final velocity, $u$ is initial velocity, $t$ is time, $g$ is acceleration due to gravity, $h$ is height from ground.

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