a car slows from 22m/s to 3m/s at a constant rate if 2.1m/s. how many seconds are required before the car is traveling at 3m/s
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A car slows from 22m/s to 3m/s with a constant acceleration of _2m/s^2. How long does it this require
To find the number of seconds required before the car is traveling at 3 m/s, you need to calculate the time it takes for the car to decelerate from 22 m/s to 3 m/s at a constant rate of 2.1 m/s.
The formula to find the time is:
time = (final velocity - initial velocity) / acceleration
In this case, the initial velocity is 22 m/s, the final velocity is 3 m/s, and the acceleration is -2.1 m/s² (negative sign because the car is decelerating).
Plugging in these values into the formula, we get:
time = (3 m/s - 22 m/s) / (-2.1 m/s²)
Simplifying the equation further, we have:
time = (-19 m/s) / (-2.1 m/s²)
Dividing the velocities, we get:
time = 9.05 seconds
Therefore, it takes approximately 9.05 seconds for the car to slow down from 22 m/s to 3 m/s.