Hi,
I've been given this problem to work on as homework, and I'm completely confused by the wording.
"A stone is thrown vertically upwards and after t seconds its height y metres above its starting point is given by y=100t-5y^2. Calculate the greatest height reached by the stone and the value of t when this happens."
I need to solve it using calculus but I'm not sure how. I've differentiated the equation given to get dy/dx=100-10t, though I don't know if that's the right thing to do. Help appreciated
I've been given this problem to work on as homework, and I'm completely confused by the wording.
"A stone is thrown vertically upwards and after t seconds its height y metres above its starting point is given by y=100t-5y^2. Calculate the greatest height reached by the stone and the value of t when this happens."
I need to solve it using calculus but I'm not sure how. I've differentiated the equation given to get dy/dx=100-10t, though I don't know if that's the right thing to do. Help appreciated