Algebra 2

A woodland jumping mouse hops along a parabolic path given by y=-0.2x^2+1.3x where x is the mouse's horizontal position (in feet) and y is the corresponding height (in feet). Can the mouse jump over a fence 3 feet high? Explain.

I know that x is 3.25 and the mouse's horizontal position in feet and I know that y is 2.1 (2.1125) and the corresponding height in feet. I don't understand how to tell if the mouse can jump over a fence that is three feet high. Could someone please explain this to me?

  1. πŸ‘ 0
  2. πŸ‘Ž 0
  3. πŸ‘ 47
asked by Krystal
  1. lets look at the graph.

    You can plot the graph on your calculator, and see the max height of the mouse. If it is over 3, it can.

    with calculus
    finding the max
    dy/dx=0=-.4x+1.3
    x=1.3/.4=3.25
    ymax=-.2(3.25^2)+1.3(3.25)=2.11 The mouse will smash into the fence.

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by bobpursley
  2. What does the horizontal position mean?

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by Krystal
  3. Trains travel horizonally, rockets start off mostly vertical (up)

    Horizonal means no elevation change.

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by bobpursley
  4. So that's how far it has to jump and y is how high it can jump from that point to the fence?

    1. πŸ‘ 0
    2. πŸ‘Ž 0
    posted by Krystal

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra 2

    "A woodland jumping mouse hops along a parabolic path given by y=-0.2x(squared)+1.3x where x is the mouse's horizontal position(in feet) and y is the corresponding height(in feet). Can the mouse jump over a fence that is 3 feet

    asked by kalum on January 20, 2014
  2. physics

    A solid cylinder of mass m and radius R rolls down a parabolic path PQR from height without slipping (assume R β‰ͺ H) as shown in the figure below. Path PQ is rough (and so the cylinder will roll on that path), whereas path QR is

    asked by joy on April 14, 2018
  3. PHYSICS 1 ..'''''''''''''''''''''''' helllpppppppp

    The β€œVomit Comet.” In Zero-gravity astronaut training equipment testing, NASA flies a KC135A aircraft along a parabolic flight path. As shown in Figure P4.47, the air-craf climbs from 24000ft to 31000ft,where it enters a

    asked by JORHO on January 9, 2013
  4. Physics

    Upon spotting an insect on a twig overhanging water, an archer fish squirts water drops at the insect to knock it into the water. Although the insect is at distance d from the fish along a straight-line path at angle $ (as in the

    asked by Antonio on September 13, 2010
  5. Algebra URGENT! Conic sections

    A spacecraft is in a circular orbit 150 kilometers above Earth. Once it attains the velocity needed to escape the Earth's gravity, the spacecraft will follow a parabolic path with the center of Earth as focus. Suppose the

    asked by hanna on March 18, 2014
  6. PHYSICS HEL ME ......................JORHO........

    The β€œVomit Comet.” In Zero-gravity astronaut training equipment testing, NASA flies a KC135A aircraft along a parabolic flight path. As shown in Figure P4.47, the air-craf climbs from 24000ft to 31000ft,where it enters a

    asked by JORHO on January 9, 2013
  7. Social Studies

    What was the system of economy for the Plateau, Northeast Woodland and Southeast Woodland Indians? Thank you

    asked by Scott on September 27, 2007
  8. physics

    Can somebody please shows me how to get to the answer key,06H? A thin, spherical shell of mass m and radius R rolls down a parabolic path PQR from height H without slipping (assume R β‰ͺ H) as shown in the figure below. Path PQ is

    asked by Anonymous on April 16, 2018
  9. physics

    In moving a standard computer mouse, a user applies a horizontal force of 6.00Γ—10βˆ’2 N. The mouse has a mass of 125 g. (a) What is the acceleration of the mouse? Ignore forces like friction that oppose its motion. (b) Assuming

    asked by aly on December 2, 2010
  10. Social Studies

    What kind of contribution to society did the Plateau (California Inter-Mountain), Northeast Woodland and Southeast Woodland Indians make to history? Thank you!

    asked by Scott on September 27, 2007

More Similar Questions