Example: Leap of FaithA dolphin leaps from the water at an initial speed of 12.0 m/s toward a ball held by a trainer a horizontal distance of 5.50 m away. If the trainer drops the ball the instant the dolphin leaves the water, show that the dolphin and the ball meet

The location of both ball and the dolphin is same i.e 2.5 m above at the time 0.57 seconds this indicates that the ball and dolphin will meet.

Explanation:

As the complete question is not visible, therefore, the question is searched online and following reference question is obtained and is attached as the attachment.

From the reference question data is as follows

initial speed of the dolphin=

The angle at which the  dolphin leaves the water is calculated as

The x and y components of initial velocity are given as

Time to complete the horizontal distance by the dolphin is calculated as

Now the vertical position of ball at this instant is given as

Now the location of ball at the instant is given as

As the location of both ball and the dolphin is same i.e 2.5 m above at the time 0.57 seconds this indicates that the ball and dolphin will meet.