Question

A rocket is launched with a velocity of 30 m/s at 40° to the horizontal. How far will it travel horizontally? 0 3.01 m 0 90.54 m 120 m O 141.39 m​

Answer 1

The horizontal distance traveled by the rocket is 90.46 m

Step-by-step explanation:

Given;

initial velocity of the rocket, u = 30 m/s

angle of projection, θ = 40°

the horizontal distance traveled by the rocket = ?

The horizontal distance traveled by the rocket is given by the range of the projectile.

The range of the projectile is given as;

`R = (u^2Sin(2\theta))/(g)\\\\R = ((30)^2sin(80^0))/(9.8)\\\\R = 90.46 \ m`

Therefore, the horizontal distance traveled by the rocket is 90.46 m

The closest answer in the given options is 90.54 m