math

posted by .

A rock is thrown vertically up from the ground with a velocity of 24 meters per second, and it reaches a height of 2+24t-4.9tsquare after t secounds.

A. How many seconds after the rock is thrown will it reach its maximum height?

B.What is the maximum height the rock will reach, in meters?

C. How many seconds after the rock is thrown will it hit the ground?

It will reach the max height after 2.45 secs.
You can find the max height by differentiation and setting it to zero. ie. 24 -9.8 t = 0 and solve for t to be 2.45 secs.
Then use 2.45 in the equation to find the max height to be 2 + 24 *2.45 + 4.9 (2.45)(2.45) = 90.21 meters.
It will hit the ground in 2.45 * 2 secs = 4.90 secs

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A rock is thrown vertically upward with a speed of 11.0 from the roof of a building that is 70.0 above the ground. Assume free fall. In how many seconds after being thrown does the rock strike the ground?
  2. math

    on earth, in the absence of air, the rock in excersise 13 would reach a height of s=24t- 4.9t^2 meters in t seconds. How high would the rock go?
  3. physics

    A rock is thrown vertically upward with a speed of 14.0 m/s from the roof of a building that is 50.0 m above the ground. Assume free fall. In how many seconds after being thrown does the rock strike the ground?
  4. Calc

    If a rock is thrown upward on the planet Mars with a velocity of 17 m/s, its height (in meters) after t seconds is given by H = 17t − 1.86t^2. (a) Find the velocity of the rock after one second. (b) Find the velocity of the rock …
  5. physics

    A rock is dropped from a treetop 19.6 m high, and then, 1.00 s later, a second rock is thrown down. With what initial velocity must the second rock be thrown if it is to reach the ground at the same time as the first?
  6. PHYSICS

    A rock is thrown vertically upward with a speed of 14.0m/s from the roof of a building that is 70.0m above the ground. Assume free fall. In how many seconds after being thrown does the rock strike the ground?
  7. algebra

    Rock is thrown from the top of a building. The formula h=-16t+234 describes the height of the rock, h in feet, t seconds after the rock is thrown. how long after the rock is thrown does it hit the ground?
  8. Physics

    A rock is thrown directly upward from the edge of the roof of a building that is 35.3 meters tall. The rock misses the building on its way down, and is observed to strike the ground 4.00 seconds after being thrown. Neglect any effects …
  9. Math

    A rock is thrown upward from a bridge that is 88 feet above a road. The rock reaches its maximum height above the road 0.67 seconds after it is thrown and contacts the road 3.18 seconds after it was thrown. Define a quadratic function, …
  10. Physics

    A rock is thrown directly upward from the edge of the roof of a building that is 40.2 meters tall. The rock misses the building on its way down, and is observed to strike the ground 4.00 seconds after being thrown. Neglect any effects …

More Similar Questions