calculus

posted by .

A ball is dropped from the same height, but 20
feet away from the side of the building. The height y of the
ball at time t is given by y(t) = 64 − 16t2. How fast is the
shadow of the ball moving along the ground after 1 second?

  • physics-check question -

    The velocity of the ball after time t is given by:
    y'(t)=-32t

    The shadow cannot be traced unless the position of the sun or light source is known.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    A ball is dropped from the top of a building. The height, , of the ball above the ground (in feet) is given as a function of time, , (in seconds) by y = 1640 - 16t^2 y'= -32t When does the ball hit the ground, and how fast is it going …
  2. Calculus

    A ball is dropped from the top of a building. The height, , of the ball above the ground (in feet) is given as a function of time, , (in seconds) by y = 1640 - 16t^2 y'= -32t When does the ball hit the ground, and how fast is it going …
  3. calculus

    A light is attached to the wall of a building 64 feet above the ground. A ball is dropped from the same height, but 20 feet away from the side of the building. The height y of the ball at time t is given by y(t) = 64 − 16t 2 …
  4. Pre-Calculus

    A ball is thrown up at the edge of a 364 foot cliff. The ball is thrown up with an initial velocity of 72 feet per second. Its height measured in feet is given in terms of time t, measured in seconds by the equation h=−16t2+72t+364. …
  5. math

    A robotic basketball player tosses a ball upward from a height of 7 feet, at an initial speed of 111 feet per second. The height of the ball is modeled by the equation: h=−16t2+111t+7, where h is the height above the ground in …
  6. Calculus

    Suppose a ball is thrown straight up into the air, and the height of the ball above the ground is given by the function h(t) = 6 + 37t – 16t2, where h is in feet and t is in seconds. At what time t does the ball stop going up and …
  7. math

    Problem: A ball is dropped from the top of a building that is 250 feet tall. The height h of the ball in feet after t seconds is modeled by the function h = -16t2 +250. How long will it take for the ball to reach the ground?
  8. Math

    A ball is thrown straight up from the top of a building 148 ft. tall with an initial velocity of 72 ft per second. The distance s(t) (in feet) of the ball from the ground is given by s(t) = 148 + 72t − 16t2. Find the maximum …
  9. math

    A ball is dropped from the roof a building which is 256 m high. The height h of the ball at any instant t is described by h(t) = – 16t2 + 256 Find i) Instantaneous velocity of ball at t = 3 seconds ii) The time taken by ball to reach …
  10. math

    A light is at the top of a pole 80 feet high. A ball is dropped at the same height from a point 20 feet away from the light. A wall 80 feet high, 60 feet away from the light is built. Assuming the ball falls according to the Newtonian …

More Similar Questions