a 1.5 kg ball is thrown vertically upward with an initial speed of 15 m/s. if the initial potential energy is taken as zero, find the ball's kinetic, potential, and mechanical energies (a) a its initial position, (b) at 5 m above the initial position, and (c) at its maximum height

a)

b)

c)

Explanation:

We have:

m: is the ball's mass = 1.5 kg

v₀: is the initial speed = 15 m/s

g: is the gravity acceleration = 9.81 m/s²

a) In the initial position we have:

h: is the height = 0

The potential energy is given by:

The kinetic energy is:

And the mechanical energies:

b) At 5 m above the initial position we have:

h = 5 m

The potential energy is:

Now, to find the kinetic energy we need to calculate the speed at 5 m:

And the mechanical energies:

c) At its maximum height:

: is the final speed = 0

Now, the potential, kinetic and mechanical energies are:

I hope it helps you!    

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