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After opening the parachute, the descent of a parachutist follows a linear model

ID: 2900877 • Letter: A

Question

After opening the parachute, the descent of a parachutist follows a linear model. At 7:28 P.M., the height of the parachutist is 6150 feet. At 7:31 P.M., the height is 3450 feet. Use a linear equation that gives the height of the parachutist in terms of the time to find the time when the parachutist will reach the ground. After opening the parachute, the descent of a parachutist follows a linear model. At 7:28 P.M., the height of the parachutist is 6150 feet. At 7:31 P.M., the height is 3450 feet. Use a linear equation that gives the height of the parachutist in terms of the time to find the time when the parachutist will reach the ground. After opening the parachute, the descent of a parachutist follows a linear model. At 7:28 P.M., the height of the parachutist is 6150 feet. At 7:31 P.M., the height is 3450 feet. Use a linear equation that gives the height of the parachutist in terms of the time to find the time when the parachutist will reach the ground.

Explanation / Answer

since it is a linear relation

h=u*t

6150=u*(t)

3450=u*(t+3) (since, 7:31 pm-7:28 pm=3 mins diffrence)

for heaight =0

0=u*(t+x)

solving we gwt u=-900

and thus x= 41/6=6.83 mins


so time for heaight becoming zero = 7:28+6.83=7:35:23


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