To find: The possibility of a ball with given initial speed to travel a given distance.
The soccer ball can travel a distance 200 ft. with travelling time
Given data:
The soccer ball is kicked off with initial speed 70 feet per second to travel a distance of 200 feet.
Method/Formula used:
The speed v of an object that starts with initial speed u after travelling a distance s is given by
Here,
The frictional force
Here, g is the acceleration due gravity equals
If a is the deceleration caused by the frictional force, then
Calculation:
The soccer ball is kicked off with initial speed 70 feet per second. Suppose the ball stops after covering a distance of 200 feet, i.e.,
Substitute
This deceleration equals
Here,
Hence, the soccer ball can travel a distance 200 ft. that will take time 200/70 equals
Chapter 10 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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