Leslie skydived out of an airplane with a parachute. After she opened the parachute, Leslie descended at a constant rate. During the first 34 seconds after she opened the parachute, she descended 714 feet. It took 1 minute and 25 seconds for Leslie to reach the ground after she opened the parachute. How far did Leslie descend to reach the ground after she opened the parachute?
Leslie descended 1,785 feet to reach the ground after she opened the parachute.
After opening her parachute, Leslie descended at a constant rate for a total of 1 minute and 25 seconds, which is equivalent to 85 seconds. Given that she descended 714 feet during the first 34 seconds, we can calculate the total distance covered using her constant rate of descent.
This option does not accurately represent Leslie's total descent. To find the distance she descended in the remaining time after the first 34 seconds, we must first determine her rate of descent and apply it to the total time, which would yield a different total than 1,270 feet.
While this option is a plausible figure, it also does not reflect the total distance Leslie descended. The calculation based on the constant descent rate over the entire 85 seconds shows that she descended significantly more than 1,515 feet after the parachute opened.
This is the correct answer. After calculating Leslie's rate of descent from the first 34 seconds (714 feet), we can determine her total distance. She descended at this constant rate for the full duration of 85 seconds, leading to a total descent of 1,785 feet.
This choice implies an exaggerated total distance that Leslie could not have covered given the constant rate established. The calculations based on her descent rate show that she could not reach 2,615 feet within the given time after opening her parachute.
Leslie's total descent after opening her parachute was 1,785 feet, derived from her constant descent rate calculated over the total time of 1 minute and 25 seconds. The other choices either underestimate or overestimate her total distance, reinforcing the importance of careful calculation in understanding motion under constant rates.
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