A ball is kicked from a location < 9, 0, -6 > (on the ground)with initial velocity < -10, 17, -3 > m/s. The ball's speedis low enough that air resistance is negligible.
velocity of the ball = <-10, 14,06, -3>
What is the average velocity of the ball over this timeinterval?
Use the average velocity to find the location of the ball 0.3seconds after being kicked:
Now consider a different time interval: the interval between theinitial kick and the moment when the ball reaches its highestpoint. We want to find how long it takes for the ball to reach thispoint, and how high the ball goes.
What is the y-component of the ball's velocity at the instant whenthe ball reaches its highest point (the end of this timeinterval)?
Fill in the missing numbers in the equation below (update form ofthe Momentum Principle):
mvyf = mvyi + Fnet,y?t
m( ) = m( )+ -mg?t
How long does it take for the ball to reach its highestpoint?
?t = ( ) s.
Knowing this time, first find the y-component of the averagevelocity during this time interval, then use it to find the maximumheight attained by the ball:
ymax = ( ) m.
A ball is kicked from a location < 9, 0, -6 > (on the ground)with initial velocity < -10, 17, -3 > m/s. The ball's speedis low enough that air resistance is negligible.
velocity of the ball = <-10, 14,06, -3>
What is the average velocity of the ball over this timeinterval?
Use the average velocity to find the location of the ball 0.3seconds after being kicked:
Now consider a different time interval: the interval between theinitial kick and the moment when the ball reaches its highestpoint. We want to find how long it takes for the ball to reach thispoint, and how high the ball goes.
What is the y-component of the ball's velocity at the instant whenthe ball reaches its highest point (the end of this timeinterval)?
Fill in the missing numbers in the equation below (update form ofthe Momentum Principle):
mvyf = mvyi + Fnet,y?t
m( ) = m( )+ -mg?t
How long does it take for the ball to reach its highestpoint?
?t = ( ) s.
Knowing this time, first find the y-component of the averagevelocity during this time interval, then use it to find the maximumheight attained by the ball:
ymax = ( ) m.
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