4. A group of students made a rocket and launched it vertically upwards with velocity of 27ms^-1. What is the total distance travelled by the
rocket?

[Assume g=10ms^2]​

Approximately , assuming that the rocket had no propulsion onboard, and that air resistance on the rocket is negligible.

Explanation:

Initial velocity of this rocket: .

When the rocket is at its maximum height, the velocity of the rocket would be equal to . That is: .  

The acceleration of the rocket (because of gravity) is constantly downwards, with a value of .

Let denote the distance that the rocket travelled from the launch site to the place where it attained maximum height. The following equation would relate to , , and :

.

Apply this equation to find the value of :

.

In other words, the maximum height that this rocket attained would be .

Again, assume that the air resistance on this rocket is negligible. The rocket would return to the ground along the same path, and would cover a total distance of .