Question

A rocket is fired with an initial Velocity OF 100m/s at an angle OF 55 above the horizontal, It explodes on the mountain Side 12s after its Firing What is x-and y-coordinates of the rocket relative to its Firing point?​

Answer 1

( 688.29 , 276.66 ) meters

Step-by-step explanation:

Break into horizontal and vertical components

x = 100 cos 55 = 57.36 m/s

the x coordinate is then 12 seconds * 57.36 m/s = 688.29 meters

y coordinate is a bit more complex because of the curved path due to gravity

Original y velocity = 100 sin 55

y = vo t - 1/2 (9.81)(t^2)

y = 100 sin 55 (12) - 1/2 (9.81) (12)^2

yf = 276.66 meters