A car starts at rest, with an acceleration of 1 . After one second of travel, its acceleration is increased to 2 , and after each successive second, the acceleration is increased by 1 .

How far will the car travel in 7 seconds?

From what height would a whale have to fall (assuming no air friction) to attain a speed of 42 mph?

When I begin my journey, I travel for 200 feet while constantly accelerating. After that, I see a moose in the road, so I slam on the brakes, deccelerating at a rate 5 times my initial acceleration, until I come to a stop.

My entire journey took 15 seconds.  What was my initial acceleration?

My new rocket-car can go from 0 to 48 miles per hour in the same amount of time it takes my old Flintstone car to go from 0 to 5 miles per hour.

If my Flintstone car accelerates at a rate of 1.25 mph per second, what is my rocket-car's acceleration?

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Tremont the Turkey finds out that he's scheduled to be someone's Thanksgiving feast this year, so he decides to run away. After launching himself over the fence, he begins accelerating as he runs across the field toward the woods. Fortunately for him, he is able to maintain a constant acceleration across the length of the 75 yard field.

Five seconds after he launches over the fence, Bertie Bulldog, who is patrolling the edge of the woods, realizes that Tremont is out of the enclosure, and begins running to intercept him at the edge of the field. Bertie has an acceleration of 4 for the first 3 seconds of his run, and after that he maintains contstant speed. To reach the point where Tremont will enter the woods, Bertie must travel 110 yards.

If Tremont escapes by the skin of his beak (he reaches the woods just as Bertie reaches him), how fast was Tremont going when he reached the woods?