Question #d9310

1 Answer
Oct 12, 2015

s = 200.82 m

Explanation:

u = 50 m/s
angle alpha = 64º
Initial velocity in x: u(x) = 50 * cos(64º) m/s
Initial velocity in y: u(y) = 50 * sin(64º) m/s
Acceleration in y: a = -9.81 m/s^2
t = ?
s = ?

In y:
v = u + at
0 = 50 * sin(64º) + -9.81(t/2),
t/2 = 4.58s,
t = 9.16s

In x:
s = ((v+ u)/2) * t,
s = ((50 * cos(64º) + 50 * cos(64º))/2) * 9.16,
s = (50 * cos(64º)) * 9.16,
s = 200.82 m