A stone is projected vertically upwards with a velocity of 12ms'. Calculate or find:
a) How long it took the stone to reach its maximum height.
b) Maximum height reached by the stone.
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Ответ:
The acceleration of the stone will be -9.8 m/s^2, because of the acceleration of earth's gravity, the initial velocity will be 12 m/s, and the final velocity will be 0 m/s. Therefore, we can solve using a kinematic equation to solve the problems:
a)
Final Velocity = Initial Velocity + Acceleration * Time
0 = 12 + -9.8*t
-12 = -9.8*t
t = 12/9.8 ≈ 1.224
Therefore, the time is equal to 12/9.8 ≈ 1.2245 seconds.
b)
Displacement = (Initial Velocity + Final Velocity)/2 * Time
d = (12+0)/2*1.2245
d = 6*1.2245
d = 7.347
Therefore, the maximum height is approximately equal to 7.347 meters.
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