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May 27, 2015

May 27, 2015

Posted by **Ava** on Saturday, February 2, 2008 at 10:56pm.

- physics -
**drwls**, Saturday, February 2, 2008 at 11:10pmThe horizontal velocity component will remain

Vx = 24 cos 42 at all times of flight.

They should say what the dimensions are.. I will assume meters/sec fr velocity and meter fr the height h.

The vertical velocity component

which is initially

Vyo = 24 sin 42,

will increase such that

(Vyfinal)^2 = (Vyo)^2 + 2 g h

Solve for Vyf. The magnitude of the final velocity is

Vf = sqrt[Vx^2 + Vyfinal^2]

Here's an easier way to get it: The kinetic energy (1/2) M V^2 increases by the potential energy loss M g h, no matter what angle it is thrown. The mass cancels out.

Therefore

Vf^2/2 = Vo^2/2 + gH

- physics -
**Ava**, Saturday, February 2, 2008 at 11:47pmI did it the way that you said: Vx=17.8 Vy=16.1^2 + 2(-9.8)(10m) Vy=63.21 Vf=316.84+3994.24=65.65 but i still got the answer wrong

- physics -
- physics -
**drwls**, Sunday, February 3, 2008 at 12:13amYou got the sign of g wrong. Use +9.8 . Just because gravity goes down does not mean you should use a - sign for g.

Vf^2 = 24^2 + 2*9.8*10

If you insist on using a negative g, then you should use a negative H, because the height decreases. In either case, V^2 must be higher when it hits the ground than it was when it was thrown.

- physics -
**tchrwill**, Sunday, February 3, 2008 at 10:30amA man stands on the roof of a 10.0 -tall building and throws a rock with a velocity of magnitude 24.0 at an angle of 42.0 above the horizontal. You can ignore air resistance. Calculate the magnitude of the velocity of the rock just before it strikes the ground

What is a 10.0 - tall building?

What units apply to a "magnitude 24.0"?

Is the building 10 stories tall or 10 meters tall or 10 feet tall?

Assuming the building is 10m tall and the velocity is 24m/sec.

The vertical component of the initial velocity is all we need which is Vv = 24(sin42º) = 16.06m/sec.

The time to maximum height above the building derives from Vf = Vo - 9.8t or 0 = 16.06 - 9.8t making t = 1.6338 sec.

The height reached above the building derives from h = Vot - 4.9t^2 or h = 16.06(1.638) - 4.9(1.638)^2 or h = 13.16 meters.

The distance from the maximum height to the ground is d = 10 + 13.16 = 23.16 meters.

The time to reach the ground derives from h = Vot + 4.9t^2 or 23.16 = 0(t) + 4.9t^2 making t = 2.17 sec.

The velocity of impact derives from Vf = Vo + 9.8t or Vf = 0 + 9.8(2.17) = 21.3m/sec.

If, by chance, you meant a 10 story building, its height would more likely be T = H = 10(10)/3.281 = 30.48m.

The distance from the maximum height to the ground is then d = 30.48 + 13.16 = 43.64 meters.

The time to reach the ground derives from h = Vot + 4.9t^2 or 43.64 = 0(t) + 4.9t^2 making t = 2.98 sec.

The velocity of impact derives from Vf = Vo + 9.8t or Vf = 0 + 9.8(2.98) = 29.24m/sec.

I hope this is of some help to you.