The kinetic energy of a stone is 5.88 Joules at the time of projection. What maximum height does the 0.2 kg stone reach?
A) 3.3 m
B) 3.0 m
C) 6.0 m
D) none of the above

The answer I got to this question was B ) 3.0 m. Did I get it correct? Please show your work so I can compare it to y work. Thank you!

B) 3.0 m

Explanation:

At the maximum height, all the kinetic energy is converted to potential energy.

KE = PE

KE = mgh

5.88 J = (0.2 kg) (9.8 m/s²) h

h = 3.0 m

The stone reaches a maximum height of 3.0 m above the point of projection.  Your answer is correct.

The maximum height does the 0.2 kg stone reach is 3.0m

Explanation:

Here,

KE = 5.88J

mass (m) = 0.2kg

at maximum height

KE = PE

KE = mgh

h = KE ÷ mg

h = 5.88 ÷ 0.2 × 10

h = 2.94 ≈ 3.0

Thus, The maximum height does the 0.2 kg stone reach is 3.0m

-TheUnknownScientist