Projectile motion from edge of building

[J89]

Homework Statement

A projectile is fired from the edige of a building with initial velocity of v0=10 m/s at an angle of 45 degrees. The rojectile rises and then lands oln ground at point P as shown, which is 35.4 meters away from the base of building. A) Find the Y component of the projectile's position at t =2.4 seconds and the maximum height the projectile reaches. Drawing is attached too..

Homework Equations

Vsina0 + -1/2gt^2

The Attempt at a Solution

Used the given equation for both parts but got them wrong..

 

[LowlyPion]

You know vertical velocity initially.

10 * .707 = 7.07 m/s

But your equation is wrong.

Y = h + Vy*t - 1/2*g*t²

You need to figure h the height of the building.

You can determine that from the x-distance at impact

35.4/Vx = 35.5 / 7.07 = total time

Since at total time that tells you where the object reaches 0 in the equation, that should tell you h. With h, you can figure Y at 2.4 sec.

Figure the time to max height and that gives you the Y of max height, all from the same equation for Y.