Question

A ball is thrown at a speed of 39.05m/s at an angle of 39.8degrees above the horizontal. Determine:

V1perpendicular component:
V1Sin(theta)
= 25m/s

V1paralell component:
V1Cos(theta)
= 30m/s

a) the ball's location 2s after being thrown.
V2paralell = V1paralle = 30m/s

V2perpendicular = V1+at
= 25+(-10)(2)
= 5m/s

V2 = sqrt of 30^2 + 5^2
= 30.41m/s

b) the time it takes to reach maximum height.
t = (V2perp - V1perp)/a
= -25/-10
= 2.5s

Note: maximum height will be 0, right? It stops momentarily before it goes down.

c) the maximum height above ground.
V2^2perp = V1^2perp + 2ad
= 25^2 + 2(-10)d
-625 = -20d
-625/-20 = d
d = 31.25m

d) the position and velocity 3s after being thrown.
V2perp = V1perp + at
= 25 + (-10)(3)
= -5m/s

d = v1perp(t) + 1/2at
= (25x3) + .5(-10)(3)
= 60m