A car is driving north on the freeway at a speed of 110 km/h and a truck is leav

Question

A car is driving north on the freeway at a speed of 110 km/h and a truck is leaving the freeway driving 85 km/h in a direction that is 35 dregrees west of north. What is the velocity of the truck relative to the car?

A dolphin wants to swim directly back to its home bay, which is 0.80 km due west. It can swim at a speed of 4.00 m/s relative to the water, but a uniform water current flows with speed 2.83 m/s in the southeast direction. (a) What direction should the dolphin head? (b) How long does it take the dolphin to swim the 0.80-km distance home?

Explanation / Answer

A car is driving north on the freeway at a speed of 110 km/h and a truck is leaving the freeway driving 85 km/h in a direction that is 35 dregrees west of north. What is the velocity of the truck relative to the car? car vcN = 110 km/h ======= North truck vtN = 85 km/h * cos35 = 69.62 km/h ====== North vtW = 85 km/h * sin35 = 48.75 km/h ====== West Therefore velocity of the truck relative to the car Vrel = vcN - vtN = 110 - 69.62 = 40.38 km/h

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