A bicyclist is finishing his repair of a flat tire when a friend rides by with a constant speed of $3\mathrm{.}2\frac{m}{s}.$ Two seconds

later the bicyclist hops on his bike and accelerates at $2\mathrm{.}4\frac{m}{s^2}$ until he catches his friend.

Part A

How much time does it take until he catches his friend $($after his friend passes him$)?$

Express your answer using two significant figures.

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Part B

How far has he traveled in this time?

Express your answer using two significant figures.

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Part C

What is his speed when he catches up$?$

Express your answer using two significant figures.