Question

Worth 50 point!!!
Who gets to school first?

Fact 1: Mike travels the direct route to school at a constant speed of 3.1 m/s

Fact 2: Chief Hopper travels 1000 m East and then 900 m North to reach the school starting from the rest and constantly accelerating at 0.028 m/s^2 until he reach the school



Answer with calculations

Answer 1

Answer:

Chief Hopper

Explanation:

Mike travels at a constant speed of 3.1 m/s.  To find how long it takes him to reach the school, we need to find the distance he travels.  We can do this using Pythagorean theorem.

a² + b² = c²

(1000 m)² + (900 m)² = c²

c ≈ 1345 m

So the time is:

v = d / t

3.1 m/s = 1345 m / t

t ≈ 434 s

Next, Chief Hopper travels a total distance of 1900 m, starting at rest and accelerating at 0.028 m/s².  So we can use constant acceleration equation to find the time.

d = v₀ t + ½ at²

1900 m = (0 m/s) t + ½ (0.028 m/s²) t²

t ≈ 368 s

So Chief Hopper reaches the school first, approximately 66 seconds before Mike does.