a driver of a car traveling at 15.6 m/s applies the brakes causing a uniform deceleration of 2.1 m/s squared. how long does it take the car to accelerate to a final speeed of 10.9 m/s. answer in units of seconds
What is your answer?
To find the time it takes for the car to decelerate from an initial speed of 15.6 m/s to a final speed of 10.9 m/s, you can use the formula:
Time = (Final Speed - Initial Speed) / Acceleration
In this case, the initial speed is 15.6 m/s, the final speed is 10.9 m/s, and the acceleration (deceleration in this case) is -2.1 m/s² (negative because it's deceleration).
Plugging in the values into the formula, we get:
Time = (10.9 m/s - 15.6 m/s) / -2.1 m/s²
Now we can calculate the time:
Time = -4.7 m/s / -2.1 m/s²
The units of velocity cancel out, leaving us with:
Time = 4.7 s / 2.1 s²
Using the rules of division with exponents, we get:
Time = 2.238 s
Therefore, it takes approximately 2.238 seconds for the car to decelerate to a final speed of 10.9 m/s.