A projectile is launched over a horizontal surface in such a manner that its maximum height is 1/4 of its horizontal range. Determine the launch angle.

The launch angle .

Explanation:

We know,

Horizontal distance travelled in projectile motion , .

Also, Maximum height ,.

Now, according to question maximum height is 1/4 of its horizontal range.

Simplifying above expression.

We get ,

Hence, this is the required solution.

kepler used the data from tycho blahe (his mentor) to construct the laws of planetary motion.