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kramer
4 years ago
10

Two​ vehicles, a car and a​ truck, leave an intersection at the same time. The car heads east at an average speed of 20 miles pe

r​ hour, while the truck heads south at an average speed of 50 miles per hour. Find an expression for their distance apart d​ (in miles) at the end of t hours.

Physics
1 answer:
leva [86]4 years ago
7 0

Answer:

d = 10\times t\sqrt{29}miles

Explanation:

Given:

't' hour be the time taken for travel by  both the vehicles and 'd'  be the distance between then

then

Distance traveled by the car = 20 × t miles

and

Distance traveled by the truck  = 50 × t miles

now, using the Pythagoras theorem

d = \sqrt{(20t)^2+(50t)^2}

or

d = \sqrt{400t^2+2500t^2}

or

d = \sqrt{2900t^2}

or

d = 10\times t\sqrt{29}

thus, the equation relating the distance 'd' with the time 't' comes as

d = 10\times t\sqrt{29}miles

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