Calculate Max Height & Distance of Arrow Shot at 30°

[Trizz]

Homework Statement

An arrow is shot at 30.0° above the horizontal. Its initial speed is 50 m/s and it hits the target.

(a) What is the maximum height the arrow will attain?
(b) The target is at the height from which the arrow was shot. How far away is it?

Homework Equations

SOH CAH TOA

O = H sin(theta)
A = H cos(theta)

The Attempt at a Solution

For my attempt at a, I simply drew it out at first. I made a vector line pointing 30 degrees NE and 50m/s long and formed a grid around it so i could plot out a right traingle. With the measurement of the hypotunuse (50) and the degree of the angle (30), I thought I just had to find the other sides to determine the solution. So i did 50sin(30) to get 25 for the y-axis rise, but that was not the answer.

I havnt attempted part b yet because I do not know where to proceed.

 

[Trizz]

help me

 

[Redbelly98]

You need to use the equations for constant acceleration . We are given the initial velocity, so which of those equations might be helpful here?