Two cars leave an intersection at the same time. Oneis headed South at a constant speed of 30 miles per hour, and theother is headed west at a constant speed of 40 miles per hour.Express the distance D between the cars as a function of timet. Hint: At t=0 the cars leave the intersection

tuanazado

tuanazado

Answered question

2022-08-05

Two cars leave an intersection at the same time. Oneis headed South at a constant speed of 30 miles per hour, and theother is headed west at a constant speed of 40 miles per hour.Express the distance D between the cars as a function of timet.
Hint: At t=0 the cars leave the intersection

Answer & Explanation

Ashlynn Stephens

Ashlynn Stephens

Beginner2022-08-06Added 25 answers

t=Hour
( 40 × t ) 2 + ( 30 × t ) 2 = D 2
Using this equation, we can calculate the exact distance betweentwo car by filling in t with how many hours have past since the carhave leave the intersection.
Just square root D 2 to get the final distance.
Dillan Valenzuela

Dillan Valenzuela

Beginner2022-08-07Added 3 answers

Everything is squared through the use of pythagorean's theorem of A 2 + B 2 = C 2
Since one car is going south and the other west, their paths willmake 2 lines that are perpendicular to each other (90 degree anglebetween them). Therefore, when connecting the two endpoints(wherever they are) you will have a right triangle and can usepythagorean's theorem to solve for the distance.

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