(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A basketball shoots a ball at an angle of 55° which is 4.3m away( horizontal dist). If the ball is released from a height of 2.1m and lands in the hoop, which is 3m high. Calculate the initial speed of the ball for this shot to be successful.

2. Relevant equations

initial horiz velocity = v cos(θ)

initial vert velocity = v sin(θ)

Resultant initial velocity = Sqroot(initial horiz v ^2 + initial vert v^2)

3. The attempt at a solution

I decided that the vertical displacement the ball travels is 0.9 m up(3-2.1m)

The question does not give the max height , so i was confused about how to approach it

What i did:

a = -9.8

u= ?

v^2 =u^2 +2as

u^2 =17.64

initial vert velocity = v sin(θ)

therefore

v(initial vert) = 4.2/sin 55

4.2 = v sin 55

= 5.127

v(initial horiz)=5.127/tan55

=3.59

total initial v = Sqroot(5.127^2 + 3.6^2)

=6.26 m/s

This answer is wrong according to the back of my book. Could you please tell me how i have done it incorrectly. If you guys really want it, then i'll post the book's answer.

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# Homework Help: Projectile motion question ( basketball being thrown into a hoop)

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