A rock is thrown vertically upward and its velocity v (in meters per second) at any given time t(in seconds) is given by v(t) = -9.8t + 30. Calculate Jo

v(t) dt and explain what it means in practical terms. Be sure to include units anduse an integral in order to receive full credit. If the rock is thrown vertically upward at a height of 2 meters above the ground, then express s,the height of the rock above the ground, as a function of time t (in seconds). Using your answer from part (b), determine how long it takes for the rock to hit the ground.