Questions asked by Peter M.
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Hi, I was wondering how transformations, such as dilations, affect definite integrals. Specifically, why is the first statement in the example below true? Why is the first integral 1/3 of the second? Thanks!

A car, which is accelerating uniformly from rest, travels a distance of 28.5 m in the tenth second of its motion. What is its acceleration?

A vehicle travelling with a uniform velocity was given a uniform acceleration, and in the sixth and tenth seconds after the acceleration began it was observed to travel 15 m and 23 m respectively. What is the acceleration and the initial uniform velocity?