A body is thrown vertically upwards with a velocity of 98m/s. If g=a=9.8 m/s when will it reach its highest point
it is at its highest when the velocity drops to zero and it starts to fall.
v = Vo - at = 98 - 9.8t
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To determine when the body will reach its highest point, we can use the kinematic equation for vertical motion:
v^2 = u^2 + 2as
Where:
v = final velocity (0 m/s at the highest point)
u = initial velocity (98 m/s)
a = acceleration (equal to gravitational acceleration, -9.8 m/s^2 for upward motion)
s = displacement (output desired)
Rearranging the equation, we have:
0^2 = (98)^2 + 2(-9.8)s
0 = 9604 - 19.6s
Solving for s, we get:
19.6s = 9604
s = 9604 / 19.6
s = 490.2 m
Since s represents displacement, and at the highest point, displacement is zero, we can conclude that the body will reach its highest point after traveling 490.2 meters upwards.