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Additional kinematics Sample Problems with solutions

# Additional kinematics Sample Problems with solutions -...

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Additional Sample Problems with solutions 1. A body is projected directly downward from an elevated point with an initial velocity of s m / 10 . If the height h above the ground is ( 29 meters t t h 10 5 500 2 - - = where t is the time in seconds after the instant it was projected, find (a) the velocity and (b) the acceleration of the body 3 seconds after it was projected. Sol’n: 10 10 - - = = t dt h d v substituting 3 = t we have ( 29 s m s m v / 40 / 10 30 - = - - = The negative velocity means it is moving downwards. 2 / 10 s m dt v d a - = = , again the negative accelerations means it is directed towards the ground. 2. A boy on the ground throws a ball vertically upward with an initial speed of s m / 49 . The path of the ball is described by the equation 2 2 8 . 9 49 t t h - = , where h is the height in meters above the ground and t is the elapsed time after the ball is thrown. Find the time when the ball reaches its maximum height. Sol’n:

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Additional kinematics Sample Problems with solutions -...

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