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) A hiker walks west at 2.9 miles per hour (mph) for 20 minutes. She then turns

ID: 1591394 • Letter: #

Question

) A hiker walks west at 2.9 miles per hour (mph) for 20 minutes. She then turns 90° and heads due north at 3.8 mph for 35 minutes. Preferring a westerly orientation, the hiker turns and heads west once again at 3.3 mph for 15 minutes before stopping to consume a pint of her favorite liquid beverage. What is the hiker's displacement from the beginning to the end of her hike? will it take for the body to complete 10 revolutions? An object travels 22 m. while slowing from 23.9 m/s to a complete stop. What ) A body starts at rest and then angularly accelerates at 29.0 deg/sec2. How long acceleration was acting on the body? How far will an object travel if it accelerates from 1.3 m/s to 5.2 m/s in 0.30 minutes? Maria is performing a "windmill' softball pitch (i.e, her elbow is fully extended throughout the motion). She angularly accelerates her arm from rest for 1.1 seconds at 18 rad/s2. If the distance from Maria's shoulder (axis of r seconds at 18 rad/s.. If the distance from Maria's shoulder (axis of rotation) to the ball in her hand is 0.76 m, what will be the linear speed of the pitched ball at release? Find the resultant vector (R) of adding the three vectors depicted on the reverse side of this page?

Explanation / Answer

3)

The object travells a distance of(s) =22m

Initial velocity (vi) =23.9m/s

Final velocity (vf) =0m/s

The acceleration acting on the body is given by

vf2-vi2 =2as

0 -u2 =2as

Here the acceleration is negative, because it is slowing down a =vi2/2s =(23.9)2/2*22 =-12.982m/s2

4)

The acceleration is given by

a =vf-vi/t =(5.2m/s-1.3m/s)/0.30*60 =0.2166m/s2

Now the distance moves is given by

s =vi*t+(1/2)at2

=(1.3)(18)+0.5*(0.2166)(18)2 =+23.4+35.0892=58.489m