The height (in metres) of a ball thrown vertically upward is modelled by

MATHEMATICS · Multi-part · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

The height (in metres) of a ball thrown vertically upward is modelled by h(t)=30t−4.9t2h(t)=30t-4.9t^2, where tt is the time in seconds after it is projected. (i) Find the interval of time during which the height is increasing. (ii) State what this interval means in terms of the motion of the ball.

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