A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 5.11 m/s. The car is a distance d away. The bear is 34.0 m behind the tourist and running at 7.01 m/s. Both the bear and the tourist are running with constant velocity. What is the maximum possible value for d in meters for the tourist reaches the car safely?

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A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 5.11 m/s. The car is a distance d away. The bear is 34.0 m behind the tourist and running at 7.01 m/s. Both the bear and the tourist are running with constant velocity. What is the maximum possible value for in meters for the tourist reaches the car safely?

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Motion is not absolute but relative. We are given the speed of bear and the tourist. We are also given the distance between them. We first find the relative velocity of bear wrt tourist. We then find the time when the bear just catches the tourist. We find the distance covered by tourist in this time. If this distance is equal to the distance of car from him, then he will be safe.

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