Math/ Calculus Help1

posted by .

Supplies are dropped from a stationary (not moving up or down) helicopter and, after some amount of time, land on the ground with a velocity of -160 feet per second.

Assumptions: Start time at t = 0 and ignore air resistance. Recall that the height function is given by

y(t)= y0 + v0t - 16t^2

where y0 is the initial height of the supplies (in feet) and v0 is the initial
velocity of the supplies (in feet per second).

a) Since the supplies are dropped from a
stationary helicopter, what is the initial velocity of the supplies? How does this simplify the height equation?

b) Using the fact that the supplies hit the ground with a velocity of -160 feet per second, when do the supplies hit the ground?

c) Using previous parts, how high above the ground was the helicopter initially when the supplies were dropped?

  • Math/ Calculus Help1 -

    a) v0=0, so y(t) = y0-16t^2

    b) v(t) = -32t, so solve for t when v=-160

    c) now plug that t into y(t)=0 to get y0

  • Math/ Calculus Help1 -

    Thank you Steve,

    However, I still don't get your instructions for b) and c)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    well i have this homework question that says: A rock is dropped from the top of a 300-ft cliff. It's velocity at time t seconds is v(t0= -32 t feet per second. a.) Find the height of the rock above the ground at time t. b.) How long …
  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 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 …
  4. Calculus

    A rescue helicopter drops a crate of supplies from a height of 160 feet. After t seconds, the crate is 160 - 16t^2 feet above the ground. a) Find the velcocity of the crate at t=1 b) With what velocity does the crate strike the ground?
  5. Calculus

    A pomegranate is thrown from ground level straight up into the air at time t=0 with velocity 128 feet per second. Its height in feet at t seconds is f(t)=16t^2+128t. Find the time its hits the ground and the time it reaches its highest …
  6. Applied Calculus

    Suppose that an object is thrown down towards the ground from the top of the 1100-ft tall Sears Tower with an initial velocity of – 20 feet per second (the negative velocity indicates that the object is moving towards the ground). …
  7. calculus

    A stone is thrown straight down from the edge of a roof, 750 feet above the ground, at a speed of 7 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 5 seconds …
  8. math

    An object that is falling or vertically projected into the air has it height, in feet, above the ground given by the formula below, where s is the height in feet, Vo is the original velocity of the object, in feet per second, t is …
  9. Maths/ Calc

    Supplies are dropped from a stationary (not moving up or down) helicopter and, after some amount of time, land on the ground with a velocity of -160 feet per second. Assumptions: Start time at t = 0 and ignore air resistance. Recall …
  10. Math

    An object is thrown upward from the top of a 160-foot building with an initial velocity of 144 feet per second. The height, h, of the object after t seconds is given by the equation h=-16t^2+144t+160. When will the object hit the ground?

More Similar Questions