Projectile motion astronaut problem

[Morhas]

Homework Statement

An astronaut on the moon, where g=1.6m/s/s, strikes a golfball giving the ball a velocity of 32m/s [35degrees above the moons horizontal]. The ball lands in a crater floor that is 15m below the level where it was struck. Determine:

a) The maximum height of the ball

Homework Equations

The Attempt at a Solution

sin(35)=Vy/32
Vy= 18m/s

d=V1t+1/2at^2
0=18t + 0.5(-1.6)t^2
0.8t=18
t=22.5

d=18(22.5/2)+0.5(-1.6)(22.5/2)
d=198-8.8
d=189m

 

[alphysicist]

Hi Morhas,

Homework Statement

An astronaut on the moon, where g=1.6m/s/s, strikes a golfball giving the ball a velocity of 32m/s [35degrees above the moons horizontal]. The ball lands in a crater floor that is 15m below the level where it was struck. Determine:

a) The maximum height of the ball

Homework Equations

The Attempt at a Solution

sin(35)=Vy/32
Vy= 18m/s

d=V1t+1/2at^2
0=18t + 0.5(-1.6)t^2
0.8t=18
t=22.5

d=18(22.5/2)+0.5(-1.6)(22.5/2)

If you compare this to the equation you have above, you can see the time is supposed to be squared in the second term on the right hand side.

d=198-8.8
d=189m