Answer:
144.6ft
Step-by-step explanation:
Given
[tex]u = 45ft/s[/tex] --- initial velocity
[tex]a = -7ft/s^2[/tex] --- deceleration
Required
Distance traveled
To do this, we make use of:
[tex]v^2 = u^2 + 2as[/tex]
Where
[tex]v = 0[/tex] --- final velocity
So, we have:
[tex]0^2 = 45^2 - 2*7*s[/tex]
[tex]0 = 2025 - 14s[/tex]
Collect like terms
[tex]14s = 2025[/tex]
Solve for s
[tex]s = \frac{2025}{14}[/tex]
[tex]s = 144.6[/tex]
