Answer:
a) t = 12 minutes
it takes him 12 minutes to complete the trip.
b) it is not reasonable.
Explanation:
a) Velocity is a vector quantity which is defined as the displacement per unit time.
velocity = displacement/time
time t = displacement/ velocity
Let east be the positive x axis.
A cyclist rides 16.0 km east, then 8.0 km west, then 8.0 km east, then 32.0 km west, and finally 11.2 km east
displacement d = 16 - 8 +8 -32 +11.2 = -4.8km
Velocity = 24km/hr
Time t = |-4.8|/24
t = 0.2 hr × 60 minutes/hr = 12 minutes
t = 12 minutes
it takes him 12 minutes to complete the trip.
b) It is not reasonable because moving at that speed the actual time it will take the cyclists to complete the total distance travelled (75.2km) would be more than 12 minutes.