From the 2016 OCR B paper A ball is thrown at an angle of 30 Degrees to the horizontal. The initial kinetic energy of the ball is K. Air resistance is negligible. What is the kinetic energy of the ball at the maximum height.

This is a common class of question concerning projectile motion and the independence of orthogonal forces.
First the student should sketch the problem an label the forces, In doing this they will see that the only force acting upon the projectile is gravity.
Next the student should recognise that at the maximum height point the ball changes directing meaning that its velocity at that point passes through zero.
As the forward motion Vx of the ball is unaffected the kinetic energy of the ball at this point is simply 1/2 m Vx2 .
The student now has to calculate Vx from the initial velocity V using trigonometry. Vx =cos(30)V (using the classic soh cah toa)
Dividing the final energy by the energy at the apex and simplifying gives (1/2 m Vx2)/(1/2 m V2) =Vx2 /V2 = V2 cos2(30)/V2 =0.75 so the answer is that the final energy is is 0.75
K

AR
Answered by Andrew R. Physics tutor

8119 Views

See similar Physics A Level tutors

Related Physics A Level answers

All answers ▸

Explain why a jet fighter pilot experiences "weightlessness" when at the top of a loop-the-loop manoeuvre.


What is Newton's Third Law and what is an example of it?


How would we calculate the distance covered by a train that starts at rest, then accelerates to 5km/hr in 30 mins then stays at this constant speed for 12 minutes?


The electric potential energy of two protons is 1.0MeV. Calculate their separation


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning