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A bicyclist in the Tour de France crests a mountain pass as he moves at 15 km/h. At the bottom, 4.2 km farther, his speed is 65 km/h. Estimate his average acceleration while riding down the mountain.
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Mar 5, 2017
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A bicyclist in the Tour de France crests a mountain pass as he moves at 15 km/h. At the bottom, 4.2 km farther, his speed is 65 km/h. Estimate his average acceleration while riding down the mountain.
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18 km/hr*1000m/km*1 hr/3600 sec= 5 m/sec
85 km/hr= 23.6 m/s
distance = 4000m
distance= initial distance+initial velocity*time+ 1/2 acceleration*time^2
initial distance=0
4000= 5.0*t+ 1/2 (accel)(time)^2
Velocity=initial velocity+ acceleration * time
23.6 m/s= 5.0 m/s+ acceleration * time
We now have two equations and two unknowns. Solve them and you have your answer.
ICyborg
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Mar 10, 2017
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