What are the t intercepts? (Time can't be negative)
Max height: set the first derivative equal to 0 and solve for t.
The question is: After a football is punted its height, , in meters above the ground at seconds can be modelled by . Determine the restricted domain of this model.
I was also asked to find the maximum height and what time it reached that height and had no difficulty.
I have no idea at all how to find the restricted domain.
That formula doesn't apply until the ball is kicked (t= 0) and does not apply after the ball hits the ground, h(t)= 0. dwsmith said "t-intercepts" but I think he mean "h-intercepts", where h= 0. However, the ball is kicked from a height of .45 meters, not 0, so only the positive h-intercept is valid.