# biomechanics

A cyclist is coasting up a hill. At t=0, the cyclist has a velocity of 14.27 m/s. If the acceleration of
the cyclist is constant at -1.67 m/s2, how long will it take the cyclist to come to a complete stop? If the
peak of the hill is 40 m away from the cyclist at t=0, will she have to pedal to reach the top?

1. 👍 0
2. 👎 0
3. 👁 328
1. how long does it take for v to drop to zero?
v(t) = 14.27 - 1.67t
using that t, the distance moved is
s(t) = 14.27t - 0.835t^2

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Physics

Two bicyclists, starting at the same place, are riding toward the same campground by different routes. One cyclist rides 1030 m due east and then turns due north and travels another 1480 m before reaching the campground. The

asked by Shant on September 5, 2014
2. ### Mathematics

A man driving a car leaves a point A drives up to 32.5 km in a direction of 070. A cyclist leaves the same point in a direction 130 travelling. After some few hours both drivers are 80km apart. Use this information to answer 3

asked by Jace Norman on June 13, 2020
3. ### physics

the speed of a cyclist reduces uniformly from 2.5 m/s to 1.0 m/s in 12 s. (a) calculate the deceleration of the cyclist. (b) calculate the distance travelled by the cyclist in this time

asked by valerie on October 31, 2010
4. ### Physics

A bike and cyclist have a combined mass of 75 kg. If the brakes can apply a maximum force of 20 N, what is the shortest time in which the cyclist can stop?

asked by Justin on February 10, 2015
5. ### Physics

A cyclist approaches the bottom of a gradual hill at a speed of 20 m/s. The hill is 4.4 m high, and the cyclist estimates that she is going fast enough to coast up and over it without peddling. Ignoring air resistance and

asked by Zach on February 25, 2008
1. ### maths

Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the

asked by thommini on February 20, 2010
2. ### physics

A cyclist is cycling at a uniform velocity of 8m/s for 8 seconds. He then stops paddling and the cycle comes to rest in next ten seconds. Draw the velocity-time graph and calculate: (i) the average retardation.(ii) the distance

asked by aisha on August 7, 2011
3. ### algebra

a cyclist rides her bike at the speed of 18 kilometers per hour what is this rate in meters per second how many meters will the cyclist travel in 2 seconds

asked by amber on October 17, 2014
4. ### Physics

The leader of a bicycle race is traveling with a constant velocity of +11.9 m/s and is 10.7 m ahead of the second-place cyclist. The second-place cyclist has a velocity of +9.10 m/s and an acceleration of +1.20 m/s2. How much time

asked by Tony on August 27, 2012