A small dense ball with mass 1.5 kg is thrown with initialvelocity <5,8,0>m/s at
ID: 1669946 • Letter: A
Question
A small dense ball with mass 1.5 kg is thrown with initialvelocity <5,8,0>m/s at time t = 0 at a location we choose tocall the origin <0,0,0>m. Air resistance is negligible (a) When the ball reaches its maximum height, what its itsvelocit(a vector). It may help to mae a simple diagram (b) When the ball reaches its maximum height, what is t? Youknow Vy depends on t and you know the initial and finalvelocities. (c) Between the launch at t = 0 and the time when the ballreaches the maximum height, what is the average velocity? You knowhow to determine average velocity when velocity changes at aconstant rate. (d) When the ball reaches its maximum height, what is itslocation(a vector)? You know how average velocity and displacementare related. (e) At a later time the ball's height y has returned to xerowhich means that the average value of Vy from t = 0 to this time iszero. At this instant, what is the time t. (f) At the time calculated in part (e),when the ball's heighty returns to zero, what is x? (g) At the time calculated in part (e), when the ball's heighty returns to zero, what is Vy? (h) What was the angle to the x-axis of the intialvelocity? (i) What was the angle to the x-axis of the velocity at thetime calculated in part (e), when the ball's height y returned tozero? A small dense ball with mass 1.5 kg is thrown with initialvelocity <5,8,0>m/s at time t = 0 at a location we choose tocall the origin <0,0,0>m. Air resistance is negligible (a) When the ball reaches its maximum height, what its itsvelocit(a vector). It may help to mae a simple diagram (b) When the ball reaches its maximum height, what is t? Youknow Vy depends on t and you know the initial and finalvelocities. (c) Between the launch at t = 0 and the time when the ballreaches the maximum height, what is the average velocity? You knowhow to determine average velocity when velocity changes at aconstant rate. (d) When the ball reaches its maximum height, what is itslocation(a vector)? You know how average velocity and displacementare related. (e) At a later time the ball's height y has returned to xerowhich means that the average value of Vy from t = 0 to this time iszero. At this instant, what is the time t. (f) At the time calculated in part (e),when the ball's heighty returns to zero, what is x? (g) At the time calculated in part (e), when the ball's heighty returns to zero, what is Vy? (h) What was the angle to the x-axis of the intialvelocity? (i) What was the angle to the x-axis of the velocity at thetime calculated in part (e), when the ball's height y returned tozero?Explanation / Answer
What do you know about an objectthat reaches its maximum height?Think about what occurs to the motion of the ball at and aroundthat time frame.
the maximum height will be reached when the object has reached thedistance which can be covered by throwing it at that angle
According to your question the ball was thrown with an initialvelocity of <5,8,0> m/s. If at the maximum height the ballis accelerating vertically, then (as we concluded) thevy is 0m/s.
Now reobserve the maximum height of the ball. After reading this,what are you left with?
If it wasn't accelerating, then in it would just float there in theair. That is the point where the velocity that is positive, andthus rising in position, changes to negative, and thus begins tofall back towards the ground.
There is no acceleration in the horizontal direction, thus the xcomponent of the velocity remains constant. That is the onlyvelocity vector, and thus is your velocity.
so, your velocity is <5,0,0> m/s at this point