Answers:
a) [tex]t=\sqrt{\frac{d}{4.9}}[/tex]
b) 0.299 s
Step-by-step explanation:
a) We are given the following equation:
[tex]t=\sqrt{\frac{2d}{9.8}}[/tex]
If we divide by 2 both the numerator and the denominator, we will have:
[tex]t=\sqrt{\frac{2d/2}{(9.8)/2}}[/tex]
[tex]t=\sqrt{\frac{d}{4.9}}[/tex]
b) From this equation:
[tex]t=\sqrt{\frac{2d}{9.8}}[/tex]
[tex]t[/tex] is the reaction time in seconds
[tex]d=44 cm \frac{1 m}{100 cm}=0.44 m[/tex] is the distance
[tex]9.8 m/s^{2}[/tex] is the acceleration due gravity
Solving:
[tex]t=\sqrt{\frac{2(0.44 m)}{9.8 m/s^{2}}}[/tex]
[tex]t=0.299 s[/tex] This is the reaction time
