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anonymous
 one year ago
A Punter Kicks A Football . Its Height (h) in meters ,t seconds after the kicks is given by the equation :h=4.9t^2 + 18.24t +0.8 . The Height Of An Approaching Blockers Hands Is Modeled By Equation : h=1.43t + 4.26 , using the same time . Can The Blocker Knock Down The Punt ? If So , At What Time Does It Happen ?
anonymous
 one year ago
A Punter Kicks A Football . Its Height (h) in meters ,t seconds after the kicks is given by the equation :h=4.9t^2 + 18.24t +0.8 . The Height Of An Approaching Blockers Hands Is Modeled By Equation : h=1.43t + 4.26 , using the same time . Can The Blocker Knock Down The Punt ? If So , At What Time Does It Happen ?

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jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2This one is a little tricky, but I think the plan should be: 1) Set the equations equal to each other (we want to see if the football touches the hands). 2) We will probably need to use the quadratic formula to solve. Do you want to give that a try? I'll help guide you through it.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2Alright, let's start with the first step. We will set the equations equal to start: 4.9t^2 + 18.24t + 0.8 = 1.43t + 4.26

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2Now, we should probably try to set the equation equal to zero. I'd suggest moving the 1.43t + 4.26 to the other side, like this:

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.24.9t^2 + 19.67t +5.06 = 0 Do you see how I got that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Adding Correcct? 1.43 + 4.26 TO BOTH SIDES

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2Oh wait, lol. Good catch. I was supposed to add the 1.43t, but subtract the 4.26. Sorry about that. :)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.24.9t^2 + 19.67t  3.46 = 0 There... that's better. :P

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2That should make more sense now. OK so far?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2Excellent! Alright, now for the "ugly" part. We have really nasty decimal numbers here, so we should probably just use the quadratic formula. Do you remember the formula or should we look it up?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2Alright, so I'll trust you and spare you the pain of typing it all out. I will go ahead and plug the numbers into the formula, and we can compare answers after. :)

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2What we can definitely say is that: a = 4.9 b = 19.67 and c = 3.46 for when we plug in.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2\[\frac{b\pm\sqrt{b^24ac}}{2a} = \frac{19.67\pm\sqrt{19.67^24(4.9)(3.46)}}{2\cdot 4.9}\]

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2Perfect! Now to simplify that horrid looking nightmare. I'll use a calculator now...

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2One answer is t = 0.184... the other....

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2OK, but now what? We have two possibilities either the blocker grabs the ball at t = 0.184 or at t = 3.830... we need a way to figure out which one.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2But we should at least celebrate our progress so far. YAY!!! :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yay !!!!!!!!!!!!! Lol

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2OK, let's do a sanity check with our answers. A useful algebra trick is to plug answers back into the original equations to see if they make sense.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2Let's not use the 4.9t^2 + ... mess, instead I'll check the other equation: 1.43t + 4.26

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Right Thats Just Makes Us Go To Far.

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2OK, plugging in t = 0.184, I see h = 3.99 But t = 3.830, I see h = 1.22

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2Well, there's a big problem with the second answer. Do you see it? The blocker's hands are a "negative height," in other words he blocks the ball underground. Unless he is a gopher, I think we can conclude that we should go with the first answer t = 0.184

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No I Didnt See It , i Just ReRead The Problem WOW

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2Yep, as I mentioned when we first started, this one was a little sneaky. But hopefully that makes sense overall. Any final questions on this one? :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well I Have A Question Mind Helping With Another Onne ?

jtvatsim
 one year ago
Best ResponseYou've already chosen the best response.2Go ahead and close this one and post a new one, so it doesn't get too cluttered. See you there! :)
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