First slide

Rate Measure

Question

A stone is thrown vertically upwards and the height reached by it in time t is given by $S = 40 t - 4 t^{2}$ then the stone reaches the maximum height is

Moderate

A

200
B

100
C

300
D

115

Solution

$S = 40 t - 4 t^{2}$
          V = 40 – 8t= 0

          $t = \frac{40}{8} = 5 \sec$

          Max height = 40(5) – 4 (25)

                             = 200 – 100

                             = 100

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