Homework Help: Physics

Posted by Nami on Friday, September 28, 2012 at 10:52am.

A ball is thrown toward a cliff of height h with a speed of 27m/s and an angle of 60 degrees above horizontal. It lands on the edge of the cliff 3.0s later.

What is the height of the cliff?
What is the maximum height of the ball?
What is the ball's impact speed?

Please provide the Formulas and steps!

Thank You!

Physics - Henry, Saturday, September 29, 2012 at 9:11pm
Vo = 27m/s @ 60o
Xo = 27*cos60 = 13.5 m/s.
Yo = 27*sin60 = 23.4 m/s.

Tr = (Y-Yo)/g = (0-23.4)/-9.8 = 2.39 s.=
Rise time.

hmax = Yo*t + 0.5g*t^2.
hmax = 23.4*2.39 - 4.9*(2.39)^2=27.84 m.

Tr + Tf = 3.0 s.
2.39 + Tf = 3
Tf = 3 - 2.39 = 0.61 s. = Fall time.

h = hmax - 0.5g*Tf^2.
h = 27.84 - 4.9*(0.61)^2 = 23.3 = Ht. of cliff.

V = Vo + gt = 0 + 9.8*0.61 = 5.98 m/s.=
Impact velocity of ball.

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