A parachutist's rate during a free fall reaches 225 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 5 seconds of free fall? Do not round your answers.
To convert from kilometers per hour to meters per second, we need to use the following conversion factors:
1 kilometer = 1000 meters
1 hour = 3600 seconds
First, let's convert 225 kilometers per hour to meters per second.
225 kilometers/hour * 1000 meters/kilometer * 1 hour/3600 seconds = 62.5 meters/second
Therefore, the parachutist's rate during free fall is 62.5 meters per second.
Next, let's calculate how many meters the parachutist will fall during 5 seconds.
62.5 meters/second * 5 seconds = 312.5 meters
Therefore, the parachutist will fall 312.5 meters during 5 seconds of free fall.
The price of an item yesterday was $180. Today, the price rose to $243 . Find the percentage increase.
To find the percentage increase, we need to calculate the difference between the two prices and express it as a percentage of the original price.
The difference between the two prices is: $243 - $180 = $63.
To calculate the percentage increase, we divide the difference by the original price and multiply by 100 to get the percentage:
($63 / $180) * 100 = 35%
Therefore, the price of the item increased by 35%.