a roller coster goes from 43 yards per hour to a stop in the station.it took 4.5 seconds to stop.what was the acceleration? (1yd=0.9144m)
To find the acceleration of the roller coaster, we can use the formula:
acceleration = (final velocity - initial velocity) / time
First, let's convert the initial velocity from yards per hour to meters per second. Since 1 yard is equal to 0.9144 meters and 1 hour is equal to 3600 seconds, we have:
initial velocity = 43 yards/hour * 0.9144 meters/yard * 1 hour/3600 seconds
Simplifying the units gives us:
initial velocity = 43 * 0.9144 / 3600 meters/second
Now, let's convert the time from seconds to hours by multiplying it by 1 hour/3600 seconds:
time = 4.5 seconds * 1 hour/3600 seconds
Next, we need to find the final velocity. The roller coaster stops, so the final velocity is 0 meters/second.
Now we can plug the values into the acceleration formula:
acceleration = (final velocity - initial velocity) / time
acceleration = (0 - (43 * 0.9144 / 3600)) / (4.5 * 1/3600)
Calculating this expression will give us the acceleration of the roller coaster.