Problema Solution
Jane runs for 34 minutes at a velocity of 6.5 m/s east, takes a breather for 5 minutes and continues running for another 13 minutes at a velocity of 3.62 m/s. What is the total distance of Jane's run?
Answer provided by our tutors
let
v1 = 6.5 m/s Jane's speed before the break
t1 = 34 min = 36*60 s = 2160 s the time that she runs until the break
v2 = 3.62 m/s Jane's speed after the break
t2 = 13 min = 13*60 s = 780 s the time that she runs after the break
since velocity = distance / time => distance = velocity * time
d1 = v1*t1 = 6.5 * 2160 = 14040m = 14.04 km is the distance Jane ran before the break
d2 = v2*t2 = 3.62*780 = 2823.6 m = 2.8236 km is the distance Jane ran after the break
the total distance is a sum of these two distances
d1 + d2 = 14.04 + 2.8236 = 16.8636 km
The total distance of Jane's run is 16.8636 km.