Question

a golf ball, thrown upwards, rises at a speed of v metres per second. the ball reaches a maximum height of h metres. h is proportional to the square of v. when v=20, h=8. work out the maximum height reached by the golf ball when v = 35

Answer 1

$h'=24.5$

Step-by-step explanation:

Given:

• height is proportional to the square of the velocity.

condition 1:

velocity, $v=20$

height, $h=8$

condition 2:

velocity, $v'=35$

height, $h'=?$

According to question:

$h\propto v^2$

So,

$\frac{h}{h'} =\frac{v^2}{v'^2}$

$\frac{8}{h'} =\frac{20^2}{35^2}$

$h'=24.5$

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TOPIC: unitary method

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