A car leaves an intersection traveling west. Its position 4 sec later is 22 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position 4 sec later is 30 ft from the intersection. If the speeds of the cars at that instant of time are 7 ft/sec and 14 ft/sec, respectively, find the rate at which the distance between the two cars is changing. (Round your answer to one decimal place.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A car leaves an intersection traveling west. Its position 4 sec later is 22 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position 4 sec later is 30 ft from the intersection. If the speeds of the cars at that instant of time are 7 ft/sec and 14 ft/sec, respectively, find the rate at which the distance between the two cars is changing. (Round your answer to one decimal place.)

 

Distance Between Two Cars
A car leaves an intersection traveling
west. Its position 4 sec later is 22 ft
from the intersection. At the same
time, another car leaves the same
intersection heading north so that its
position 4 sec later is 30 ft from the
intersection. If the speeds of the cars
at that instant of time are 7 ft/sec and
14 ft/sec, respectively, find the rate at
which the distance between the two
cars is changing. (Round your answer
to one decimal place.)
Transcribed Image Text:Distance Between Two Cars A car leaves an intersection traveling west. Its position 4 sec later is 22 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position 4 sec later is 30 ft from the intersection. If the speeds of the cars at that instant of time are 7 ft/sec and 14 ft/sec, respectively, find the rate at which the distance between the two cars is changing. (Round your answer to one decimal place.)
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