an astronaut on the moon fires a projectile from a launcher on a level surface so as to get the maximum range. If the launcher gives the projectile a muzzle velocity of 25 m/s what is the range of the projectile?

  1. 👍
  2. 👎
  3. 👁
  1. I am going to assume that you know that maximum range happens when cos theta = sin theta = .707 or at 45 degrees from horizontal. I can show you if you need that derivation.
    So using 45 degrees for angle of launcher and gravity = g on earth /6 = 9.8/6 = 1.63 m/s^2
    horizontal speed = 25 cos theta = 25^.707 = 17.7 m/s the whole time
    Initial vertical speed, Vo = 25 sin theta = 17.7 as well
    v = Vo - 1.63 t
    halfway through the trip, the vertical velocity is zero and it starts down
    0 = 17.7 - 1.63 (t/2)
    so t = 21.7 seconds in air (if any)
    how far does it go in 21.7 seconds?
    d = 17.7 (21.7) = 384 meters

    1. 👍
    2. 👎
  2. How did you get the angle?

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    The weight of an astronaut plus his space suit on the Moon is only 270 N. A. How much do they weigh on Earth, in Newtons, assuming the acceleration due to gravity on the moon is 1.67m/s^2= 1584is this right? B. What is the mass of

  2. Algebra 2

    A large asteroid crashed into a moon of a planet, causing several boulders from the moon to be propelled into space toward the planet. Astronomers were able to measure the speed of one of the projectiles. the distance (in feet)

  3. science

    which of the following descriptions of the moon's surface is accurate? a) the moon's surface is wet and smooth b) the moon's surface is dry and irregular c) the moon's surface has mountains and oceans d) the moon's surface is

  4. physics

    a projectile with a muzzle velocity of 550 m/s is fired from the a gun on top of a cliff 460 m above the sea level at a certain angle with respect to the horizontal. if the projectile hits the ocean surface. 49.2 seconds after

  1. physics

    a projectile is fired from the surface of the earth with a speed of 200 m/s at an angle of 30 degrees above the horizontal. If the ground is level, what is the maximum height reached by the projectile

  2. Calculus

    The percentage of the moon's surface that is visible to a person standing on the Earth varies with the time since the moon was full. The moon passes through a full cycle in 28 days, from full moon to full moon. The maximum

  3. Physical Science

    An astronaut in a spacesuit has a mass of 100 kilograms. What is the weight of this astronaut on the surface of the Moon where the strength of gravity is approximately 1/6 that of Earth?

  4. Physics

    The mass of an astronaut is 72kg. (a) what is his weight on earth ( taking g to be 10N/kg) ? (b) if the astronaut is on the moon's surface where the acceleration due to gravity is one-sixth on the earth , calculate (I) the mass

  1. Science Physics

    On the surface of the Moon an astronaut has a weight of Fg = 120 N. The radius of the Moon is Rm = 1.74 x 106 m, the gravitational constant is G = 6.67 x 10-11 N m2kg2 and the mass of the Moon is Mm = 7.35 x 1022 kg. Solve

  2. pyhsics

    A 1kg projectile is fired at 10m/s from a 10kg launcher. The momenta of the projectile and the launcher have the same magnitude, but opposite directions. Show that the KE of the projectile is 10 times gerater that the KE of the

  3. Math

    An astronaut on the moon throws a baseball upward. The astronaut is 6 fee, 6 inches tall and the initial velocity of the ball is 30 feet per second. The height of the ball is approximated by the function s(t)= -2.7t^2 + 30t + 6.5

  4. Physics

    A projectile is fired from the surface of the Earth with a speed of 200 meters per second at an angle of 30° above the horizontal. If the ground is level, what is the maximum height reached by the projectile? (A) 5 m (B) 10 m (C)

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