Atourist being chased by an angry bear is running in a straight line toward his car at a speed of 3.8 m/s. the car is a distance d away. the bear is 22 m behind the tourist and running at 6.3 m/s. the tourist reaches the car safely. what is the maximum possible value for d?

The maximum possible value for d is 33.4 m.

The bear chases the tourist with a speed v₁ and the tourist runs with a speed v₂. The distance between the tourist and the car is d and the distance between the tourist and the bear is 22 m. for the tourist to reach the car safely, he should cover the distance d in the same time as the bear, which covers a distance d+22 m.

Therefore,

Substitute 3.8m/s for v₂ and 6.3 m/s for v₁. Solve for d.

The maximum distance between the tourist and his car, for him to be safe from the chasing bear is 33.4 m.

not moving. pos accel,

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