Question #d9310

1 Answer
Hugo C.
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#

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