physic

Tadeh launches a model rocket straight up from his backyard that takes 6.96 s to reach its maximum altitude. (After launch, the rocket's motion is only influenced by gravity. Enter magnitudes only.)
(a) What is the rocket's initial velocity?

m/s

(b) What is the maximum altitude reached by the rocket?

m

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
  1. a)

    Use the equation of motion: v = u + at

    => v = 0 m/s, a = -9.8 m/s^2, t = 6.96 sec

    => u = v - at = 0 - (-9.8)(6.96)
    = 68.2 m/s

    b)

    Use the equation of motion: 2as = v^2 - u^2

    => a = -9.8 m/s^2, v = 0, u = 68.2 m/s

    => 2(-9.8)h = -(68.2)^2
    => 2*h = (68.2)(6.96)
    => h = 474/2
    = 237 m

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    The following graph models the height of a model rocket in feet measured over time in seconds. a graph of a downward opening parabola. The x axis is labeled Time in seconds. The Y axis is labeled Height in feet. Points on the

  2. math

    A toy rocket is launched straight up into the air with an initial velocity of 60 ft/s from a table 3 ft above the ground. If acceleration due to gravity is –16 ft/s2, approximately how many seconds after the launch will the toy

  3. Calculus

    Camille launches a model rocket in an open field near her house. The rocket has a bit of a problem, being slightly off balance. Its trajectory is described by the function y=60ln(x+1)-6x for 0 ≤ x ≤ 36.15, where y is is the

  4. physics

    A test rocket is fired straight up from rest. The net acceleration is 20 m/s2 upward and continues for 4.0 seconds, at which time the rocket engines cease firing. What maximum elevation does the rocket reach?

  1. Physics

    A model rocket is launched straight upward with an initial speed of 50 m/s. It accelerates with a constant upward acceleration of 2.00 m/s^2 until its engines stop at an altitude of 150 m. a) What is the max. height reached by the

  2. Math

    A model rocket is launched with an initial velocity of 164ft/sec. It's height h, in feet, after t seconds is given by the formula h=164t-16t^2. After how many seconds will the rocket first reach a height of 400ft?

  3. math

    A model rocket is launched from the deck in Jim's backyard and the path followed by the rocket can be modeled by the relation h=-5t^2 +100t +15, where h, in metres, is the height that the model rocket reaches after t seconds. What

  4. Physics

    A 5000 kg cart carrying a vertical rocket launcher moves to the right at a constant speed of 27.0 m/s along a horizontal track. It launches a 54.8 kg- rocket vertically upward with an initial speed of 33.1 m/s relative to the

  1. Science

    4. A model rocket with a mass of 0.2 kg, with a motor that can provide a force of 100 N. A second model rocket is being built with the same motor, but is being designed to accelerate half as much as the first rocket. What kind of

  2. Physics I

    Suppose a rocket launches with an acceleration of 32.0m/s^2. What is the apparent weight of an 95-kg astronaut aboard this rocket?

  3. college algebra

    A model rocket is launches upward with an initial velocity of 160 feet per second. The height, in feet, of the rocket t seconds after the launch is given by h=-16t^2+160t. How many seconds after the launch will the rocket be 290

  4. math

    a model rocket is projected straight upward from the ground level. It is fired with an initial velocity of 192 ft/s. How high is the rocket after 10 seconds? When is the rocket at a height of 432 feet? What is the maximum height

View more similar questions or ask a new question.