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## Homework Statement

A group of people are watching a fireworks display. 3.5 s after they hear a rocket launch, they see the explosion. the explosion is observed to be located 50.0 from the launch point at an angle of 73.0 degrees above the horizontal.

(a) Sketch the problem. Label all parts of the problem with the appropriate variables. This includes all variables you will use in your equations. Specify the value of all the variables you are given.

(b) What is the initial velocity of the rocket?

(c) What is the velocity of the rocket just before it explodes?

## Homework Equations

v = v0 + at

d=vt

## The Attempt at a Solution

First I have a couple of questions.

Is the rocket accelerating? If yes, is it in the x and y directions?

Is there an assumption I should be making to solve this problem?

cos73 = x/50m

x= cos73(50m)

x=14.62

sin 73 = y/50m

y=sin73(50m)

y=47.82

v = v0 + at

0 = v0 + (-9.80)(3.5s)

vy0 = 34.3 m/s

d=vt

v=d/t

v=4.18 m/s

Then I would use the pythagorean theorem to solve for the final velocity but this is all done assuming that the velocity was constant and that the rocket was not accelerating.