Question

Please solve really stuck much appreciated

Answer 1

Answers:

a)
`t=\sqrt{(d)/(4.9)}`

b) 0.299 s

Explanation:

a) We are given the following equation:

`t=\sqrt{(2d)/(9.8)}`

If we divide by 2 both the numerator and the denominator, we will have:

`t=\sqrt{(2d/2)/((9.8)/2)}`

`t=\sqrt{(d)/(4.9)}`

b) From this equation:

`t=\sqrt{(2d)/(9.8)}`

`t` is the reaction time in seconds

`d=44 cm (1 m)/(100 cm)=0.44 m` is the distance

`9.8 m/s^(2)` is the acceleration due gravity

Solving:

`t=\sqrt{(2(0.44 m))/(9.8 m/s^(2))}`

`t=0.299 s` This is the reaction time