michael is driving his sports car at 30m/s when he sees a dog on the road he slams on the breaks and comes to a stop in 3.0 second what is the acceleration of michael car?

Vo = 30 m/s.

V = 0
t = 3 s.

V = Vo + a*t
Solve for a.

23

To calculate the acceleration of Michael's car, we can use the formula for acceleration:

acceleration (a) = change in velocity (Δv) / time taken (Δt)

Given that Michael's car comes to a stop, the change in velocity (Δv) can be calculated as the final velocity (0 m/s) minus the initial velocity (30 m/s). The time taken (Δt) is given as 3.0 seconds.

Plugging in the values:

acceleration (a) = (0 m/s - 30 m/s) / 3.0 s

Simplifying:

acceleration (a) = -30 m/s / 3.0 s

acceleration (a) = -10 m/s²

Therefore, the acceleration of Michael's car is -10 m/s². The negative sign indicates that the car is decelerating or slowing down.

To find the acceleration of Michael's car, we can use the formula:

Acceleration = (Final Velocity - Initial Velocity) / Time

Here, the final velocity is 0 m/s (since the car comes to a stop), the initial velocity is 30 m/s, and the time taken to stop is 3.0 seconds.

Substituting the values into the formula:

Acceleration = (0 m/s - 30 m/s) / 3.0 s

Acceleration = -30 m/s / 3.0 s

Acceleration = -10 m/s²

Therefore, the acceleration of Michael's car is -10 m/s². The negative sign indicates that the car is decelerating (slowing down).