Posted by **Kayla** on Wednesday, September 28, 2011 at 12:56pm.

A ball launched from ground level lands 2.7 s later on a level field 50 m away from the launch point. Find the magnitude of the initial velocity vector and the angle it is above the horizontal. (Ignore any effects due to air resistance.)

A. Find the magnitude m/s

B. Find the direction ° (above the horizontal)

- Physics -
**tchrwill**, Wednesday, September 28, 2011 at 1:57pm
For a projectile fired at an angle of µº to the horizontal with a velocity of Vm/s, the maximum height reached derives from h = V^2(sin^2(µ))/29 and the distance traveled parallel to the ground derives from d = V^2(sin(2µ))/g

1--Vcos(µ) = 50/2.75 = 18.181818

2--Vsin(µ) = 9.8(2.75) = 26.95

3--Vsin(µ)/Vcos(µ) = 26.95/18.18 = 1.48239

4--(µ) = arctan(1.48239) = 56º

5--Therefore, the initial launch velocity is V = 18.1818/cos(56) = 32.51m/s in the direction of 56º above the horizontal.

I hope this has been of some help to you.

## Answer this Question

## Related Questions

- physics - A ball launched from ground level lands 3 s later on a level field 48 ...
- physics - A ball launched from ground level lands 2.15 s later on a level field ...
- physics - A projectile is launched over level ground at a launch angle of 70o ...
- johnny - A projectile is launched over level ground at a launch angle of 70o ...
- physics - A golf ball is struck with a five iron on level ground. It lands 92.7 ...
- Physics - A golf ball is struck with a five iron on level ground. It lands 85.0 ...
- physics - A projectile is launched at an angle of 58.5 degrees above the ...
- Physics - A ball thrown into the air lands on the same horizontal level, 31 m ...
- Physics 1 - A golf ball is struck with a five iron on level ground. It lands 92....
- AP physics - A NFL punter kicks a ball and lands 52 m away and is in the air ...

More Related Questions