Advanced Functions

A diver is on the 10 m platform, preparing to perform a dive. The diver’s height above the water, in metres, at time t can be modelled using the equation

h(t)= 10+ 2t - 4.9t^2.

a) Determine when the diver will enter the water.
b) Estimate the rate at which the diver’s height above the water is
changing as the diver enters the water.

  1. 👍
  2. 👎
  3. 👁
  1. 10 + 2t - 4.9t² = 0

    t = 1.647 s

    b) take the derivative and plug in 1.647 s

    dh/dt = 2 - 9.8 t
    dh/dt = 2 - 9.8 (1.647 ) = -14.14 m/s

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Science

    1. Use the image below to answer the following question. An image shows a diver crouching on a diving board labeled 1. The diver launching off the board is labeled 2. The diver just about to enter the water is labeled 3 The diver

  2. math

    the path of a cliff diver as he dives into a lake is given by the equation y=-(x-10)power of 2 + 75...where y meters is the divers height above the water and x metres is the horizontal distance travelled by the diver. what is the

  3. physics

    A 57.0 kg diver dives from a height of 15.0 m. She reaches a speed of 14.0 m/s just before entering the water. (a) What was the average force of air resistance (e.g., friction) acting on the diver. (b) What is the force of

  4. physics

    A 65 kg diver jumps off of a 10.0 m tower. a. Find the diver's velocity when he hits the water. b. The diver comes to a stop 2.0 m below the surface. Find the net force exerted by the water. Ok, im a little confused about this

  1. College Algebra

    A sky diver jumps from a reasonable height above the ground. The air resistance she experiences is proportional to her velocity, and the constant of proportionality is 0.23. It can be shown that the downward velocity of the sky

  2. math

    MODELING REAL LIFE A diver is diving from a platform 10 meters above the water. The diver reaches a depth of 4 meters. What is the change in elevation of the diver?

  3. Physics

    A diver performing a double somersault spins at an angular speed of 4.5 π rad/s precisely 0.70s after leaving the platform. Assuming the diver begins with zero initial angular speed and accelerates at a constant rate, what is the

  4. Algebra

    The path of a diver is given by y=-4/9 x^2 + 24/9x +12 where y is the height (in feet) and x is the horizontal distance from the end of the diving board (in feet). What is the maximum height of the diver?

  1. Algebra-Quadratic Applications

    A diver on a platform 40 feet in height jumps upward with an initial velocity of 5 feet per sec. His height in h feet after t seconds is given by the function h=-16t^2+5t+50. What is his maximum height? How long will it take him

  2. Algebra 1

    A diver jumps from a platform 25 feet above the surface of the water. The diver's height above the water is given by the equation h(t)=-16t^2+14.5t + 25, where t is the time, in seconds, after the diver jumps. A.)When will the

  3. Math

    The path of a diver is approximated by the following, where y is the height (in feet) and x is the horizontal distance (in feet) from the end of the diving board. y= (-4/9)x^2+(24/9)x+13 What is the maximum height of the diver in

  4. math

    A scuba diver dove from the surface of the ocean to an elevation of -79 9/10 feet at a rate of -18.8 feet per minute. After spending 12.75 minutes at that elevation, the diver ascended to an elevation of -28 9/10 feet. The total

You can view more similar questions or ask a new question.