Compute each part of following problem given below:
Problem: It has been claimed that an insect called the froghopper (Philaenus spumarius) is the best jumper in the animal kingdom. This insect can accelerate at 4,000 m/s2 over a distance of 2.0 mm as it straightens its specially designed "jumping legs." Assuming a uniform acceleration, answer the following.
Part A: What is the velocity of the insect after it has accelerated through this short distance? (Enter the magnitude of the velocity.) m/s
Part B: How long did it take to reach that velocity? ms
Part C: How high would the insect jump if air resistance could be ignored? Note that the actual height obtained is about 0.7 m, so air resistance is important here. m
Please show all work so I can fully understand all concepts! Thanks.