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Projectile Motion/Kinematics

  1. Dec 2, 2009 #1
    1. The problem statement, all variables and given/known data

    Telemetry for a remote space probe is the ability to measure altitude using radar. A probe with initial horizontal velocity of 53.84 m/s descends on Mars. During the landing attempt, the telemetry readings are relayed to Earth every 9.952 s. The sequence received is: 3000 m, 2921 m, 2685 m, 2291 m, 1740 m, 165.0 m, touchdown. What is the magnitude of the displacement between the first and last reading?

    a. 4397 m
    b. 161,521 m
    c. 3536 m
    d. 3000 m

    2. Relevant equations

    vy^2 = v0^2 +2ay
    vy = v0y +at
    x = x0 +vox*t
    y = y0 + v0y*t +1/2*at^2

    3. The attempt at a solution
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Dec 2, 2009 #2
    Displacement is a vector. Although you can quickly say that the horizontal component of the displacement is 3000, that is not the answer. You must use the horizontal velocity paired with the total time to find an x component of displacement. Using Pythagoras's theorem, find the hypotenuse of the two components.
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