calculus 1

A rock is dropped off the edge of a cliff its distance S (in feet) from the top of the cliff after T seconds is S(T) = 16t^2. Assumme the distance from the top of the water below is 96ft.

When will the rock strike the water?

T=16t^2 -96
96=16t^2
80=t^2
4 and squareroot of 5= t

Im not sure if if i did it right because the chapter is about limits

  1. 👍
  2. 👎
  3. 👁
  1. You need major help in algebra, not calculus. You may want to drop calculus, if the above work reflects your algebra ability. You made major errors in manipulation and solving that simple equation.

    S(t)=16t^2
    find t when S=96

    96=16^t^2
    t^2=96/16 =6
    t= sqrt(6)

    1. 👍
    2. 👎
    👤
    bobpursley

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics 11th grade 2

    1) A 20 kg rock is on the edge of a 100 m cliff. a. What potential energy does the rock possess relative to the base of the cliff? b. The rock falls from the cliff. What is the kinetic energy just before it strikes the ground? c.

  2. PHYSICS HELP

    A 0.26-kg rock is thrown vertically upward from the top of a cliff that is 31 m high. When it hits the ground at the base of the cliff, the rock has a speed of 29 m/s . a.Assuming that air resistance can be ignored, find the

  3. physics

    a rock is dropped from a cliff falls one-third of it's total distance to the ground in the last second of it's fall. how high is the cliff?

  4. Physics

    An extreme skier, starting from rest, coasts down a mountain slope that makes an angle of 25.0o with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.200. She coasts down a distance of 10.4 m

  1. Math

    For this problem, a person standing on the edge of a cliff throws a rock directly upward. it is observed that 2 secs later the rock is at its maximum height (in feet) and that 5 secs after that (meaning 7 seconds after being

  2. physics

    a 20 kg rock is on the edge of a 100 m cliff . the rock falls from the cliff , what is its kinetic energy just before it hits the ground ?

  3. physics

    A 17-kg rock is on the edge of a 103-m cliff. (a) What potential energy does the rock possess relative to the base of the cliff? . J (b) The rock falls from the cliff. What is its kinetic energy just before it strikes the ground?

  4. physics

    A rock is dropped from a sea cliff, and the sound of it striking the ocean is heard 3.3 later. If the speed of sound is 340 , how high is the cliff?

  1. physics

    an extreme skier starting from rest, coasts down a mountain that makes an angle 25.0¨¬with the horizontal. The coeffiecient of kinetic friction between her skis and the snow is 0.200. She coasts for a distance of 8.4m before

  2. physical science

    a 2.0 kg rock sits on the edge of a cliff 12m above the beach. The rock falls off the cliff. How much kinetic energy will it have just before it hits the beach?

  3. calculus

    A rock is thrown upward with a speed of 48 feet per second from the edge of a cliff 400 feet above the ground. What is the speed of the rock when it hits the ground? Use acceleration due to gravity as -32 feet per second squared

  4. HELP!!! Math

    You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence. What is the

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