anonymous
  • anonymous
tennisball mashine shoots a ball straight up in the air, it lands after 7 seconds What's the hight of the ball given v=f(t)=30-10t i figured that the equation i got is actually the derivative of -5t^2+30t ball shots upp with a velocity of 30m/s, is a physics mix i have no pheta angle neede to solve it in a simpler way...vertex apex im asked: what does 30 stand for? -10t?acceleration? and what's max height? i have a graf with and dowsslopping linear line crossing the y axis at 30m/s and the x axis at 3 seconds
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
ok tell me V=30-10t did they give you this with question
anonymous
  • anonymous
oh ok now i can solve it
anonymous
  • anonymous
is the answer 35 feet

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
because you just sub 7 into original equation and you will get maximum height
anonymous
  • anonymous
\[=-5(7)^{2}+30 \times 7\]
IrishBoy123
  • IrishBoy123
yes, for \(v(t) =30 - 10t\) we have 30 as initial velocity, -10 for gravity (acceleration) so as you say \(x(t) =30t - 5t^2+x_0 = 5t(6-t)+x_0\) but note the integration constant if it lands after t = 7, then \(\large x(7) = x_0-35\) !!!!! weird! is the machine 35m above gound or does the ball land in a crater?!?! anyways, at the peak of its flight \(v(t) = 0 \implies 30 - 10t=0, t = 3\) solve from there

Looking for something else?

Not the answer you are looking for? Search for more explanations.