Question

Please solve really stuck much appreciated

Answer 1

Answers:

a) $t=\sqrt{\frac{d}{4.9}}$

b) 0.299 s

Step-by-step explanation:

a) We are given the following equation:

$t=\sqrt{\frac{2d}{9.8}}$

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

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

$t=\sqrt{\frac{d}{4.9}}$

b) From this equation:

$t=\sqrt{\frac{2d}{9.8}}$

$t$ is the reaction time in seconds

$d=44 cm \frac{1 m}{100 cm}=0.44 m$ is the distance

$9.8 m/s^{2}$ is the acceleration due gravity

Solving:

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

$t=0.299 s$ This is the reaction time