A ball weighing .15kg is thrown upwards at a rate of 20m/s from a building 30m high. Neglecting air resistance, formulate a differential equation govering the ball's motion, solve it, and use the solution to determine the maximum height of the ball.
A ball weighing .15kg is thrown upwards at a rate of 20m/s from a building 30m high. Neglecting air resistance, formulate a differential equation govering the ball's motion, solve it, and use the solution to determine the maximum height of the ball.
Motion up: subject to the boundary conditions that at t = 0, and . (SI units used).
So we just find an explicit expression for velocity, then integrate it, and apply the fact that s(0)=30 for the contstant. Then plug in the t that makes v=0?
So we just find an explicit expression for velocity, then integrate it, and apply the fact that s(0)=30 for the contstant. Then plug in the t that makes v=0?