Plz help, and show work 1. A penguin falls off a 35m cliff onto the head of a napping polar bear. The penguin starts from rest and accelerates due to gravity (9.8m/s2). How long does the penguin fall? (your final answer should be positive)

2. A penguin flees a cranky polar bear. The penguin starts from rest and runs at a constant acceleration east. At 20 seconds the penguin is running at a velocity of 2m/s. What is the acceleration of the penguin?

1. 2.67 s

2. 0.1 m/s²

Explanation:

1. Determination of the time taken for the penguin to fall.

Height (h) of cliff = 35 m

Acceleration due to gravity (g) = 9.8 m/s²

Time (t) =?

h = ½gt²

35 = ½ × 9.8 × t²

35 = 4.9 × t²

Divide both side by 4.9

t² = 35 / 4.9

Take the square root of both side

t = √(35 / 4.9)

t = 2.67 s

Thus, it will take 2.67 s for the penguin to fall onto the head of a napping polar bear.

2. Determination of the acceleration of the penguin.

Initial velocity (u) = 0 m/s.

Final velocity (v) = 2 m/s.

Time (t) = 20 s

Acceleration (a) =?

a = (v – u)/t

a = (2 – 0)/ 20

a = 2 / 20

a = 0.1 m/s²

Thus, the acceleration of the penguin is 0.1 m/s²