Ferdinand the frog is hopping from lily pad to lily pad in search of a good fly
for lunch. if the lily pads are spaced 2.4 m apart, and ferdinand jumps with a
speed of 5.0 m/s, taking 0.60 s to go from lily pad to lily pad, at what angle
must ferdinand make each of his jumps?

Explanation:

According to the described situation we have the following data:

Horizontal distance between lily pads:

Ferdinand's initial velocity:

Time it takes a jump:

We need to find the angle at which Ferdinand jumps.

In order to do this, we first have to find the horizontal component (or x-component) of this initial velocity. Since we are dealing with parabolic movement, where velocity has x-component and y-component, and in this case we will choose the x-component to find the angle:

(1)

(2)

(3)

On the other hand, the x-component of the velocity is expressed as:

(4)

Substituting (3) in (4):

(5)

Clearing :

This is the angle at which Ferdinand the frog jumps between lily pads

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