Can someone help me with this? (Math)
1)The picture below represents the trajectory of three different basketballs thrown by the same person from the same distance away from the hoop. The only thing different between each thrown is the angle at which the shooter decides to release the ball. Notice that the shooter is releasing the ball at a different angle, but the ball still makes it into the hoop. Top trajectory is the 53-degree shot, middle trajectory is the 45-degree shot and the bottom trajectory is the 35-degree trajectory shot
a.If the shooter releases the ball at (0, 7) and all the balls go through the hoop at the point (13.5, 10), using the other points provided, find the equations for all three trajectories.
b.Identify the maximum height the ball reaches at each of the different three trajectories
c.The front of the rim is located at (13, 10). How far back does the shooter need to step back for the ball to bounce off the front of the rim?
d.Chose one of the three trajectories. From what height does the player need to release the ball (still 14.5 feet from the backboard), such the ball bounces off the top of the backboard at (14.5, 13), where the shots continue to have the same trajectory as before?
e.During half time a child wins a chance to shoot the basketball with the team. The child tries to get as close as possible to the hoop to increase his chance of making the shot. The child stands 10 feet from our shooter. The child proceeds to shoot the ball “granny style” and releases it 4 feet from the ground. If the ball must make it through the hoop at (13.5, 10), what is the maximum height that the ball reached in order to make it into the hoop?
i.If the player where to take his three shots again, at what point would the child’s ball collide with each of his three shots?
(I need some help on this, was never good at math. ;p I would appreciate any help, even if it's just the first few parts. I don't people to do it for me, I would just appreciate it if someone could nudge me in the right direction. Thanks
)
a.If the shooter releases the ball at (0, 7) and all the balls go through the hoop at the point (13.5, 10), using the other points provided, find the equations for all three trajectories.
b.Identify the maximum height the ball reaches at each of the different three trajectories
c.The front of the rim is located at (13, 10). How far back does the shooter need to step back for the ball to bounce off the front of the rim?
d.Chose one of the three trajectories. From what height does the player need to release the ball (still 14.5 feet from the backboard), such the ball bounces off the top of the backboard at (14.5, 13), where the shots continue to have the same trajectory as before?
e.During half time a child wins a chance to shoot the basketball with the team. The child tries to get as close as possible to the hoop to increase his chance of making the shot. The child stands 10 feet from our shooter. The child proceeds to shoot the ball “granny style” and releases it 4 feet from the ground. If the ball must make it through the hoop at (13.5, 10), what is the maximum height that the ball reached in order to make it into the hoop?
i.If the player where to take his three shots again, at what point would the child’s ball collide with each of his three shots?
(I need some help on this, was never good at math. ;p I would appreciate any help, even if it's just the first few parts. I don't people to do it for me, I would just appreciate it if someone could nudge me in the right direction. Thanks
) Comments
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A)
@ the 35 degree curve, the equation I found was: -.07407x^2 + 1.22222x + 7
@ the 45 degree curve, the equation I found was: -.09292x^2 + 1.47676x + 7
@ the 53 degree curve, the equation I found was: -.12134x^2 + 1.86038x + 7
@35 degrees, the max I found was: (8.25043 , 12.04192)
@45 degrees, the max I found was: (7.94640, 12.86746)
@53 degrees, the max I found was: (7.66598, 14.13081)
C)I guess shift everything .5 ft left? Don't know how to work that one xD
D)I guess shift everything 3 upwards? I'm actually to lazy to work out C&D xD
E) Meh... I keep on getting a domain error... I guess I would need more coordinates to help create the right equation.
And I stopped there.
Basically I used the Quadratic Regression feature in my STATs button.
I don't know if that's what you were looking for in your homework... or if the angles have more play... I just thought they were titles to each curve.
If it was the QuadReg, then keep on reading!
After inputting each xy coordinate in the L1, L2 lists, I used QuadReg to find the quadratic function of best fit.
I wrote down the equation.
Then turned on statplot for the graph, graphed the points... then input the equation in the Y= window. Graphed both at once, got best fit visually, then did CALC to find the max
And I'm too lazy to help out C or D, and got stumped on E, so I gave up there
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O.o I can use my TI-84 on this... that is if I got the right answer. I'll input the steps after I've done the answers... if you want.
TI-84 is pussy shit, real men use TI-89s.
what math classes are you guys in?
im in pre-calculus (highest level math class i can take as a junior.) -
TI-84 is pussy shit, real men use TI-89s.
what math classes are you guys in?
im in pre-calculus (highest level math class i can take as a junior.)
pre-cal college level and gonna be my LAST MATH class I ever take.
cute language... just it's a larger number doesn't necessarily mean it's better, it's for a different series of more complex math.
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