A stone is thrown vertically upward from a bridge

MATHEMATICS · Single correct · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

A stone is thrown vertically upward from a bridge, and its height h(t)h(t) (in metres) after tt seconds is given by h(t)=−5t2+20t+2h(t)=-5t^{2}+20t+2. Concerning the zeros of h(t)h(t), which statement is correct? (a) It has two distinct real zeros, both of which are physically meaningful. (b) It has two distinct real zeros, and only the larger positive zero is physically meaningful. (c) It has exactly one real zero at about 2 s2\,\text{s} when the stone momentarily stops. (d) It has two distinct real zeros, and the positive zero is approximately 2 s2\,\text{s}.

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