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The function H(t) = -16t2 + vt + s shows the height H (t), in feet, of a projectile launched vertically from s feet above the ground after t seconds. The initial speed of the projectile is v feet per second. Part A: The projectile was launched from a height of 100 feet with an initial velocity of 60 feet per second. Create an equation to find the time taken by the projectile to fall on the ground. (2 points) Part B: What is the maximum height that the projectile will reach? Show your work. (2 points) Part C: Another object moves in the air along the path of g(t) = 20 + 38.7t where g(t) is the height, in feet, of the object from the ground at time t seconds. Use a table to find the approximate solution to the equation H(t) = g(t), and explain what the solution represents in the context of the problem? [Use the function H(t) obtained in Part A, and estimate using integer values] (4 points) Part D: Do H(t) and g(t) intersect when the projectile is going up or down, and how do you know? (2 points)
this is a unit test in math we can not help with tests :(
what exactly are you having trouble with
she wants us to help her answer a test from k12 trust me i had the question before :(
actualy no I do not go to k12
if she asks about it in a right way, there is no problem to help getting to the solution
and I was asking if you could check what I have so far.
thats the right question
ok sounds good so what is the first question you have
the equation that I cam up with for part a is h(t)=16(60)^2+100(60)
I have the feeling that its wrong but I am not sure
ok well i got tagged in something im sure myko can help you so good day : )
ok, do you think you can help me @myko
just ask and we will see
the equation that I came up with for part a is h(t)=16(60)^2+100(60)
did I do it right or is there an error
Hmm. It is not correct. |dw:1432914354831:dw| The given equation represents the parabola openning downwards. Also it says that that will be the path folowed by the projectile if you take coordinate axis in a usual way. So imagine it being the actual trajectory of your particle. The parabola will cut t-axis in two points. One of them is the moment when it hits the ground, right?
what can you say about the value of H(t) when the projectile hits the ground?
Remmeber that H(t) represents the hight of the projectile
yeah I was just thinking
for t would you plug in the distance or would it you you leave t as t?
first answer about hte value of H(t) at the moment when it is on the ground
remmember that it represents the hight. How much high is something from the ground if it is on the ground?
right, finaly :)
sorry, I am really bad at algebra
so your equation becomes: 0=-16t^2+vt+s Now lets use next information given. It says it was trown from 100 feet hight How we can introduce this informatyion in our equation?
what does s represent?
Actualy it represents initial hight. So substitute s=100
and v=60 and you got the equation for t when it hits the ground
sry, got to go now
ok, so then what does t represent?
ok well thank you you helped me understand it more now