BILAL S. answered 08/16/23
Helping Students Master AP Physics & Math with Confidence
1: a). A student jogs around a circular track with a diameter of 1.0 km in 30 minutes. Find the runner’s average speed in meters per second (m/s).
Given:
d = 1km = 1000m ==> Circumference = πd = 3.14 x 1000 = 3140m
t = 30 min = 1800s
Vav = d/t = 3140m/1800s = 1.744 m/s ~ 1.7 m/s
b). km/h ==> 3.14/0.5h = 6.28 km/h
3.14 km = ?miles ==> 1 km = 0.621371 miles so 3.14 x 0.621371 = 1.9511 miles/h =~ 2 mph
2) acceleration = change in velocity/time
a = ΔV/Δt
a = +25 m/s / 14s = 1.78571428571 m/s2 Rounded down to 1.8 m/s2
I hope this helps. Thanks