calculus

A brick becomes dislodged from the top of a state building (at a height of 1290 feet) and falls to the sidewalk below.
(a) Write the position, velocity, and acceleration functions of the brick.
s(t) =
v(t) =
a(t) =

(b) How long does it take the brick to hit the sidewalk?

(c) How fast is the brick traveling when it hits the sidewalk?

  1. 👍
  2. 👎
  3. 👁
  1. (a)
    s = 1290 - 16t^2
    ... for v,a

    (b) solve for t:
    1290 - 16t^2 = 0

    (c) plug that t into v(t)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    1. Which is an example of an algebraic expression? A. 4(3 +8) B. 18^2 C. 3 - a D. 21 . 4 *** 2. Which is an algebraic expression for 5 more than z? A. 5z B. z + 5 C. 5z + 5 *** D. 5 - z 3. Which word phrase can be used to

  2. Physics

    A brick is thrown upward from the top of a building at an angle of 25° to the horizontal and with an initial speed of 15m/s. If the brick is in the flightfor 3.0 s, how tall is the building?

  3. physic

    During a visit to New York City, Lil decides to estimate the height of the Empire State Building (see figure below). She measures the angle θ of elevation of the spire atop the building as 17°. After walking x = 9.28 ✕ 102 ft

  4. Mathematics

    The angle of elevation of the top of the spire from the foot of a building is 60°.The angle of depression of the top of the building from the top of the spire is 47.7°.Given that the height is 15 metres, calculate to one decimal

  1. Math

    From the top of a building the angle of elevation of the top of a nearby building is 23 degrees and the angle of depression of the bottom of the nearby building is 52 degrees. The distance between the two buildings is 35m. What is

  2. physics

    A rock is shot vertically upward from the edge of the top of a tall building.The rock reaches its maximum height above the top of the building 1.90 s after being shot. Then, after barely missing the edge of the building as it

  3. math 1 question

    Suppose you are building a brick border for a garden by stacking rows of bricks on top of each other. If the height of each brick is 2.5 inches and r represents the number of rows, which algebraic expression would represent the

  4. Math

    From the top of a 200 metres high building, the angle of depression to the bottom of a second building is 20°. From the same point, the angle of elevation to the top of the second building is 10°. Calculate the height of the

  1. math

    Matthew parks his car between Karen’s and Patrick’s apartment buildings. The car is 46 m in front of Karen’s apartment building. The angle of elevation from the car to the top of the building is 40°. Matthew’s car is 39 m

  2. Trigonometry

    The angle of elevation to the top of a Building in New York is found to be 6 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building.

  3. Math

    A baseball is throw from the top of a building and falls to the ground below. Its path is approximated by the relation h= -5t^2 +5t +30, where h is the height above ground in meters and t is the elapsed time in seconds. a. How

  4. Math

    From the window of one building, Matt finds the angle of elevation of the top of a second building is 33° and the angle of depression to the bottom of the same building is 55°. The buildings are 25 meters apart. Find the height

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