game, a player makes a jump shot at an angle of 70 degrees with the horizontal giving the ball a velocity of 10m/s. The ball is released at the height of basket and its a score!. Did the player tie the game or put the team ahead?
2007-01-31 02:34:29 · 6 answers · asked by donann 2 in Science & Mathematics ➔ Mathematics
How far away do you have to be for the shot to be a 3 pointer?
The distance from the basket would be 100*sin(140)/9.8=6.5 meters...but I dont know if this is far away enough to be considered a 3 pointer.
2007-01-31 02:43:59 · answer #1 · answered by bruinfan 7 · 2⤊ 0⤋
First thing you have to do is split the velocity into horizontal and vertical components, by using trig functions.
Imagine a right angled triangle. The 10m/s means the hypotenuse is 10. With one angle that you know (70 between the hypotenuse and the horizontal) you can now work out the length of the other two sides.
Knowing the initial vertical velocity, the final vertical velocity (0) and the acceleration (-9.81 due to gravity)
v = u + at
Plug in the figures to work out the time the ball was rising. The ball will travel down accelerating at the same rate, so the total time travelled (rising and falling) will be 2t.
Now you know the time the ball was in flight for, and the horizontal velocity (it will be a constant, calculated from the trig at the beginning of the answer) you can calculate how far the ball travelled, and so how far away from the hoop the ball was thrown from.
Comparing this to the three point arc on the basketball court will give you your answer
2007-01-31 02:50:50 · answer #2 · answered by Tom :: Athier than Thou 6 · 0⤊ 0⤋
I calculated that he is 8.94 m away from the basket. The three-point line in the NBA is 7.23 m from the basket. So he would have put the team ahead.
On second thought, 6.5 meters could be correct making it a tie game.
2007-01-31 02:57:47 · answer #3 · answered by E 5 · 0⤊ 0⤋
Depends on pro, college, or international. In college, 6.5 meters is a three pointer. In the NBA, tie game baby. Not sure about international
2007-01-31 02:59:30 · answer #4 · answered by dukebdevil93 2 · 0⤊ 0⤋
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2016-11-23 17:18:30 · answer #5 · answered by ? 4 · 0⤊ 0⤋
He shot the ball from the wing, putting him out of bounds, so they lose.
2007-01-31 03:02:09 · answer #6 · answered by bequalming 5 · 0⤊ 0⤋