Penguins often get around by “tobogganing”; they lie on their stomachs and prope

Question

Penguins often get around by “tobogganing”; they lie on their stomachs and propel themselves with their feet across smooth ice. A penguin starts at rest and accelerates at 0.5 m/s2. After some time t1, the penguin lifts its feet and coasts at a constant velocity v. If the total distance traveled by the penguin is 20m, and the total time is 2 minutes, find
a) t1, x1 and the velocity v
b) At the 20m mark, the penguin accelerates at -0.25 m/s. What is the final position of the penguin when it comes to rest? What is the total amount of time the penguin is in motion?

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