A sphere is propelled vertically from a position 3 meters above the ground with an initial speed of 10 meters per second, and the sole influence on it is gravity. The sphere weighs 0.15 kilograms.

1. Find the velocity v(t) of the sphere w.r.t. time t. 

2. Find the position s(t) of the sphere w.r.t. time t. 

3. What are the velocity and height of the sphere after 10 seconds?

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To solve these problems we can use the equations of motion under constant ac... View the full answer