An airplane is flying at a speed of 250 mph at an altitude of 4 miles. The plane passes directly above a radar station at time t=0. Find the distance s between the plane and the radar station after 5 minutes.
Vertical distance = 4 miles
Horizontal distance = 250 miles/h*(1/12 h) = 20.83 miles
Take the hypotenuse to get the total radar station to plane distance.
22.2
To find the distance s between the plane and the radar station after 5 minutes, we first need to convert 5 minutes into hours since the plane's speed is given in miles per hour.
1 hour is equal to 60 minutes, so 5 minutes is equal to 5/60 = 1/12 hours.
Now, we can determine the distance traveled by the plane after 1/12 hours using the formula:
Distance = Speed × Time
Distance = 250 mph × 1/12 hours
Distance = 250/12 miles
Simplifying, we get:
Distance = 20.8333 miles
Therefore, the distance s between the plane and the radar station after 5 minutes is approximately 20.8333 miles.
To find the distance between the plane and the radar station after 5 minutes, we need to calculate the total distance traveled by the plane in that time period and subtract the initial distance between them.
First, we need to convert the speed from mph to miles per minute. Since there are 60 minutes in an hour, we can divide the speed by 60 to get the speed in miles per minute:
250 mph / 60 minutes = 4.1667 miles per minute.
Next, we calculate the total distance traveled by the plane after 5 minutes by multiplying the speed per minute by the time elapsed:
Total distance = Speed per minute * Time = 4.1667 miles per minute * 5 minutes = 20.8335 miles.
Finally, we subtract the initial distance between the plane and the radar station to get the distance between them after 5 minutes:
Distance s = Total distance - Initial distance = 20.8335 miles - 4 miles = 16.8335 miles.
Therefore, the distance between the plane and the radar station after 5 minutes is approximately 16.8335 miles.