The speed V of a rocket at a time t after launch is given by V =

Question:

The speed V of a rocket at a time t after launch is given by V = at² + b where a and b are constants. The average speed over the first second was 10ms^–1, and that over the next second was 50ms^–1. Determine the values of a and b. What was the average speed over the third second?

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