Question

A 1.3kg rocket is launched straight up with an initial speed of 11m/s. How high will it go up if we ignore air resistance

Answer 1

The initial speed of the rocket is u = 11 m/s

The mass of the rocket is m = 1.3 kg

The kinetic energy of the rocket will be

`\begin{gathered} K\mathrm{}E\mathrm{}=(1)/(2)mu^2 \\ =78.65\text{ J} \end{gathered}`

The kinetic energy will be converted to potential energy

`KE=P\text{E}`

Also, the potential energy will be

`PE=\text{mgh}`

Here, the acceleration due to gravity is g = 9.8 m/s^2

The height up to which the rocket will reach is h.

Substituting the values , the height will be

78.65