a racing car reaches a speed of 44m/s. at this instandt, it behins a uniform deceleration using a parachute and a braking system, and comes to a rest 4.8s later. Find the acceleration of the car
the velocity changed by -44 m/s in 4.8s, so the acceleration is
-44/4.8 m/s^2
To find the acceleration of the car, we can use the formula for uniform deceleration:
\(a = \frac{{v_f - v_i}}{{t}}\)
where:
\(a\) = acceleration
\(v_f\) = final velocity (0 m/s since the car comes to a rest)
\(v_i\) = initial velocity (44 m/s)
\(t\) = time (4.8 s)
Substituting the given values into the formula, we have:
\(a = \frac{{0 - 44}}{{4.8}}\)
Simplifying the equation, we get:
\(a = \frac{{- 44}}{{4.8}}\)
Now, divide -44 by 4.8 to find the acceleration of the car.
\(a \approx -9.17 \, \text{m/s}^2\)
The negative sign indicates that the car is decelerating, which means it is slowing down.