First slide

Rate Measure

Question

A stone projected vertically upward moves according to the law $S = 100 t - 4 t^{2} .$ The maximum height reached is

Easy

A

$\frac{520}{3}$ units
B

625 units
C

653 units
D

670 units

Solution

$S = 100 t - 4 t^{2}$
$v = 100 - 8 t = 0$
$t = \frac{100}{8} = \frac{25}{2}$
Maximum height at $t = \frac{25}{2}$ ;
S $= 100 (\frac{25}{2}) - 4 (\frac{625}{4})$
$= 1250 - 625 = 625$
$= 625 units$

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