A car was stopped at a red light. When the light turns green, the car reaches a speed of 41 miles per hour in 1 seconds. What is the acceleration, to 1 decimal place?
v = at + k
when t = 0 , v = 0, so k = 0147
when t = 1 sec = 1/3600 hr, v = 41mph
41 = a/3600
a = 147600 mi/hr^2
You did not specify what units you want
so I leave it up to you to change to the appropriate units
To find the acceleration, we'll use the formula:
Acceleration = (Final velocity - Initial velocity) / Time
The initial velocity of the car is 0 mph (since it was stopped), and the final velocity is 41 mph. The time taken to reach the final velocity is 1 second.
Plugging in the values into the formula:
Acceleration = (41 mph - 0 mph) / 1 second
Acceleration = (41 mph) / (1 second)
Acceleration = 41 mph/second
Therefore, the acceleration of the car is 41 miles per hour per second (41 mph/s) to 1 decimal place.
To find the acceleration, we need to use the formula for acceleration:
acceleration = change in velocity / time
In this case, the change in velocity is the difference between the final velocity and the initial velocity. The initial velocity can be assumed to be 0 since the car is initially stopped. The final velocity is given as 41 miles per hour.
Now, we need to convert the units to a more suitable form. Since acceleration is typically measured in meters per second squared, we need to convert miles per hour to meters per second.
1 mile = 1609.34 meters
1 hour = 3600 seconds
So, to convert 41 miles per hour to meters per second:
41 miles per hour * 1609.34 meters per mile / 3600 seconds per hour = 18.3 meters per second
Now, we can substitute the values into the formula:
acceleration = (final velocity - initial velocity) / time = (18.3 m/s - 0 m/s) / 1 s = 18.3 m/s^2
Therefore, the acceleration of the car, to 1 decimal place, is 18.3 m/s^2.