Question

A boy is standing in the middle of a field when his friend sprints past him with a speed of 4 m/s. At the moment his friend passes him, he starts running with an acceleration of 0.8 m/s2.

1. How long will it take him to catch his friend?



2. How far will he have to run?



3. How fast will he be going?

Answer 1

Step-by-step explanation:

1) ½(0.8)t² = 4t

0.4t² = 4t

0.4t = 4

t = 10 s

2) d = vt = 4(10) = 40 m

d = ½atⁿ = ½(0.8)10² = 40 m

3) v = at = 0.8(10) = 8 m/s