Projectile motion of conservation of energy?

[firemanpato]

Projectile motion of conservation of energy?

I have a problem that is stumping me. A guy throws a ball and wants it to go through a hoop 20 meters away and the hoop is 2 meters taller than from where he released the ball. If the only given info is the angle at which he threw the ball (45 degrees) How do I set up this problem to determine the initial speed at which the ball was thrown to make it go through the hoop. I have no idea how to set it up.

 

[Pengwuino]

Dang it! I just helped someone solve this exact problem a week ago.

I think the one thing that will help you the most is that the major problem here is that you really don't have the time or the initial velocity. With that in mind, one hint that should help is that you can determine the time using gravity and the height requirement!

 

[shanu]

how is this answer

since you know both the X and Y at the time the projectile pass the thread you can use the equation for the trijectory of the projectile. I solved it in that way and got answer as 14.75

y=Xtan(45)-(gX^2)/2(vcos45)^2

(refer any book for the equation i am not so sure about it but the value 14.75 have been tested and found correct.)

 

[Päällikkö]

Although shanu's equation seems correct, memorizing loads of equations is hardly the way to do physics. The equation can be easily derived as we know that for constant acceleration:
x = x₀ + v_0xt + ½a_xt²
y = y₀ + v_0yt + ½a_yt²

Two equations, two unknowns (as the equations simplify quite a bit with the information given in the problem).

 

[hotvette]

memorizing loads of equations is hardly the way to do physics

I agree 100%. In fact, I'd go one step further and say that it's even easier to start with F = ma and derive the 2 equations of motion of the projectile (but, only if you've had calculus). I had elementary physics x years ago (I won't tell you what x is ), and had long since forgotten those 2 equations, but F=ma I'll always remember.

 

[shanu]

thank you for your advice. but it is the same i do. never memeorises the equation which i could get in a moment of calculation or thinking but when it is to take a long time i memorises them anlong with the way to derive it.

ANY WAY THANK U ALL FOR UR SUGESTIONS