a. Find an expression for the cars

Amari Flowers
2021-08-20
Answered

During a test by the editors of an auto magazine, the stopping distance s (in metres) of the MacPherson X-2 racing car conformed to the rule

$s=f\left(t\right)=40t-5t2(t\ge 0)$ where t was the time (in seconds) after the brakes were applied.

a. Find an expression for the cars

a. Find an expression for the cars

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ensojadasH

Answered 2021-08-21
Author has **100** answers

a)The velocity is the displacement over time so we divide s by t:
$v\left(t\right)=\frac{s}{t}$

$v\left(t\right)=\frac{40t-5{t}^{2}}{t}$

v(t)=40-5t

b)The brakes were first applied at t=0 so using v(t): v(0)=40-5(0)

$v\left(0\right)=40\to 40\frac{m}{s}$

c)Setting v=0, we have 0=40-5t

5t=40

$t=8\to 8$ seconds

v(t)=40-5t

b)The brakes were first applied at t=0 so using v(t): v(0)=40-5(0)

c)Setting v=0, we have 0=40-5t

5t=40

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