Question

P4. (20 pts) Use CONSERVATION OF ENERGY to determine how HIGH a projectile of mass
m goes if STARTED with VELOCITY v0 at angle q with respect to the ground. Please give all
your answers below in terms of v0, q, m, and g.
a) (4 pts) What is the KINETIC ENERGY at the start?
b) (4 pts) What is the KINETIC ENERGY at the HIGHEST point of its flight?
c) (4 pts) What is the GRAVITATIONAL POTENTIAL ENERGY at the start?
d) (4 pts) What is the GRAVITATION POTENTIAL ENERGY at the HIGHEST point of
its flight?
e) (4 pts) Using all that, determine how HIGH it goes a in terms of v0, q, and g.

Answer 1

The horizontal velocity of projectile remains constant throughout the motion. So the initial horizontal velocity will be equal to the horizontal velocity at highest point. We use conservation of energy principle to find the values as shown below

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