A certain car is capable of accelerating at a rate of 0.57 m/s^2.How long does it take for this car to go from a speed of 56 mi/h to a speed of 66 mi/h? 1mi/h = 0.447 m/s.Answer in units of s
To find the time it takes for the car to accelerate from a speed of 56 mi/h to 66 mi/h, we can use the formula:
time = (final velocity - initial velocity) / acceleration
First, let's convert the initial and final velocities from miles per hour to meters per second. We know that 1 mi/h = 0.447 m/s, so:
Initial velocity = 56 mi/h * 0.447 m/s * (1 mi/h)^(-1) = 25.012 m/s
Final velocity = 66 mi/h * 0.447 m/s * (1 mi/h)^(-1) = 29.482 m/s
Now we can plug these values into the formula to find the time it takes:
time = (29.482 m/s - 25.012 m/s) / 0.57 m/s^2
Simplifying this equation, we get:
time = 4.47 m/s / 0.57 m/s^2 = 7.84 s
Therefore, it takes approximately 7.84 seconds for the car to accelerate from a speed of 56 mi/h to 66 mi/h.