Physics question

posted by .

Students decide to measure a projectile's range for an initial projectile angle of 45°. This angle has many advantages, not the least being that since the expression for the range is proportional to the sine of twice this angle, errors in determining the angle do not contribute to errors in the range. As before, they make measurements to determine the initial speed. This time they find the initial speed to be 3.22 m/s with a relative uncertainty of 2.4%.

(a)What is the predicted range?
(b)What is the uncertainty in the predicted range? [Remember that you can treat the uncertainty in the sin(2) factor as zero since it contributes no errors at 45°.]

They launch the ball ten times and find the results for the range in centimeters to be 109.5, 109.6, 106.8, 112.5, 111.3, 106.5, 116.5, 110.1, 109.0, and 111.5.

(a)iv) What is the uncertainty in any single range measurement? [Hint: Think "standard deviation of measured values".]
(b)What is the standard error of the mean in the average range?
(c)Suppose the launch angle were the same for all ten trials, but only known (measured) to 1.3% . You would then expect the angular uncertainty to increase the spread in the measured range values by:

  • Physics question -

    The average range is calculated to be 105.8

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    The range R of a projectile is defined as the magnitude of the horizontal displacement of the projectile when it returns to its original altitude. (In other words, the range is the distance between the launch point and the impact point …
  2. physics

    The range R of a projectile is defined as the magnitude of the horizontal displacement of the projectile when it returns to its original altitude. (In other words, the range is the distance between the launch point and the impact point …
  3. physics

    A projectile is projected with speed u at an angle alpha on an inclined plane of inclination angle bita. Find time of flight nn inclined plane and maximum height attained by projectile w.r.t. Inclined plane, range of projectile on …
  4. AP Physics

    So my question is about projectile motion. We just learned in class about the equation for finding the range: R=v^2sin(2theta)/g I understand that and I think I see where it comes from. My question is, if someone were to collect data …
  5. Calculus (Gr.12) Math

    I am not sure how to do this question I know I have to take the derivative but then I am left w/ to unknowns. If a projectile is shot up hill the distance (range) of the landing point up the hill depends on the initial speed of the …
  6. Physics

    For a given initial projectile speed, you observe that the projectile has a certain range R at a launch angle A = 30 degrees. For what other launch angle will the projectile have the same range (assuming the same initial projectile …
  7. physics

    A projectile is fired with an initial speed of 65.2 m/s at an angle of 34.5 degree above the horizontal on a long flat firing range. Determine (a) The maximum height reached by the projectile, (b) The total time in the air, (c) The …
  8. Physics

    I'm having trouble where to start with this question.. Any help would be helpful. A projectile is fired with an initial speed of 75.2 m/s at an angle of 34.5° above the horizontal on a long flat firing range. Determine (a) the maximum …
  9. classical mechanics

    A projectile is launched down ward from the top of inclined plane of angle alpha in the direction making an angle beta with the incline. assuming the projectile hits the incline, find the expression for the range and determine the …
  10. physics question

    In a projectile motion, the horizontal range and the maximum height attained by the projectile are equal . A) what is the launch angle?

More Similar Questions