A water rocket is shot from the ground at a 40 degree angle with an initial velocity of 25 m/s. What is the velocity after 1.5 seconds?

5.14m/s

Explanation:

First we need to get the Maximum height reached by the rocket;

H = u²sin² theta/2g

H = 25²sin² 40/2(9.8)

H = 625(0.5878)/19.6

H = 18.74m

Get the velocity after 1.5secs

Using the equation of motion

H = ut + 1/2gt²

18.74 = u(1.5)+1/2(9.8)(1.5)²

18.74 = 1.5u + 4.9(2.25)

18.74 = 1.5u + 11.025

1.5u = 18.74 - 11.025

1.5u = 7.715

u = 7.715/1.5

u = 5.14m/s

Hence the velocity after 1.5secs is 5.14m/s