# Projectile motion

Not what you're looking for?

In this question, use g = 10m*s^-2.

In cricket, a fast bowler projects a ball at 40m*s^-1 from a point h m above the ground, which is horizontal, and at an angle alpha above the horizontal. The trajectory is such that the ball will strike the stumps at ground level a horizontal distance of 20 m from the point of projection.

(i) Determine, in terms of h, two possible values of tan alpha. Explain which of these two values is the more appropriate one, and deduce that the ball hits the stumps after approximately half a second.

(ii) State the range of values of h for which the bowler projects the ball below the horizontal.

(iii) In the case h - 2.5, give an approximate value in degrees, correct to two significant figures, for alpha. You need not justify the accuracy of your approximation.

##### Purchase this Solution

##### Solution Summary

This solution helps with a problem on projectile motion of a cricket ball. A step by step solution provided.

##### Solution Preview

Please refer to the attachment.

i) Initial velocity can be resolved into x and y components :

ux = 40cosα

uy = 40sinα

Let the ball strike the base of the stumps after t secs. Vertical displacement when the ball strikes the base of the stumps = - h

Applying s = ut + ½ at2 for the vertical motion we get :

-h = 40sinα T - ½ g T2 = 40sinα T - ½ x 10 x T2 = 40sinα T - 5 T2 .......(1)

where T is the time of flight.

Or sinα = (5T2 - h)/40T ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### The Moon

Test your knowledge of moon phases and movement.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Basic Physics

This quiz will test your knowledge about basic Physics.