a car is driving at 35 m/s when the driver hits the breaks causing the car to accelerate at -5 m/s How long will the car take to stop show your work
I believe that acceleration is -5 m/s^2 (units!!!)
v= vₒ - a•t.
t – (v - vₒ)/a = 0-35/(-5) = 7 s.
t = (v - vₒ)/a = 0-35/(-5) = 7 s.
To determine how long the car will take to stop, we need to find the time it takes for the car to decelerate from its initial velocity of 35 m/s to a final velocity of 0 m/s.
First, we need to calculate the deceleration of the car. The deceleration can be obtained by taking the negative value of the acceleration, which is -5 m/s.
Next, we can use the formula for acceleration:
acceleration = change in velocity / time
Since the final velocity is 0 and the initial velocity is 35 m/s, the change in velocity is (-35 m/s - 0 m/s), which simplifies to -35 m/s.
Plugging in the values into the formula, we have:
-5 m/s = -35 m/s / time
To isolate the variable time, we can rearrange the formula:
time = change in velocity / acceleration
Substituting the values, we get:
time = -35 m/s / -5 m/s
Simplifying the equation, we find:
time = 7 seconds
Therefore, it will take 7 seconds for the car to stop.