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Mathematics 10 Online
rsbrooks01:

a ball is thrown from a height of 47 meters with an initial downward velocity of 4 m/s. The ball's height h (in meters) after t seconds is given by the following. How long after the ball is thrown does it hit the ground?

rsbrooks01:

h=47-4t-5t^2

justjm:

Use your kinematics equations \(Δd=d_0 + vt + \frac{1}{2}at^2\)

rsbrooks01:

?

justjm:

Solve for t using quadratic formula

rsbrooks01:

i am really struggling with this

mimih:

are there multiple choice answers?

rsbrooks01:

no

mimih:

hmm okay give me a sec

rsbrooks01:

TY

mimih:

Okay do you need to show your work for the answer?

rsbrooks01:

NO

mimih:

okay so i think im right but the easiest way to do this is to put h=47-4t-5t^2 in desmos and since time cant be negative it will be the x-intercept

mimih:

do you know what desmos is?

rsbrooks01:

NO

mimih:

okay desmos is a graphing website that graphs almost everything for you instantly

mimih:

ill send a screenshot

rsbrooks01:

TY

mimih:

1 attachment
mimih:

so when I typed in the equation on the side it gave me when it will hit and it should be 2.692

mimih:

so when it hits the ground it will have taken it 2.692 s

mimih:

hope this helps!

rsbrooks01:

thank you so much!!!!!

mimih:

no problem:)

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