A certain car is capable of accelerating at a rate of 0.60 m/s^2. How long does it take for this car to go from a speed of 55 mi/h to a speed of 60 mi/h
To solve this problem, we need to convert the speeds from miles per hour to meters per second:
55 mi/h = (55 * 1609.34 m) / (3600 s) ≈ 24.59 m/s
60 mi/h = (60 * 1609.34 m) / (3600 s) ≈ 26.82 m/s
The initial speed of the car is 24.59 m/s and the final speed is 26.82 m/s. The acceleration is given as 0.60 m/s^2.
Using the formula of motion:
v = u + at
where:
v = final velocity
u = initial velocity
a = acceleration
t = time
Let's rearrange the formula to solve for time:
t = (v - u) / a
t = (26.82 m/s - 24.59 m/s) / 0.60 m/s^2
t = 2.23 m/s / 0.60 m/s^2
t ≈ 3.72 seconds
Therefore, it takes approximately 3.72 seconds for the car to go from a speed of 55 mi/h to a speed of 60 mi/h.