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Homework answers / question archive / North Hall High SchoolPHYSICS 101 Mubarak jumps and shoots a field goal from the far end of the court into the basket at the other end, a distance of 27

North Hall High SchoolPHYSICS 101 Mubarak jumps and shoots a field goal from the far end of the court into the basket at the other end, a distance of 27

Physics

North Hall High SchoolPHYSICS 101

Mubarak jumps and shoots a field goal from the far end of the court into the basket at the other end, a distance of 27.6 m. The ball is given an initial velocity of 17.1 m/s at an angle of 40.0° to the horizontal from a height of 2.00 m above the ground. What is its velocity as it hits the basket 3.00 m off the ground? 

 

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Answer:

v_horizontal=17.1*cos40

=13.09 m/s

v_vertical=17.1*sin40

=10.99m/s

now

since no horizontal force horizontal velocity will not change

vertical dispalcement=(3-2)=1

v^2=u^2-2*a*s

=10.99^2-2*9.8*1

v_vertical =10 m/s

velocity=sqrt(10^2+13.09^2)

=16.4 m/s