Posted by **Anonymous** on Tuesday, June 19, 2012 at 8:10am.

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:

## Answer This Question

## Related Questions

- physics - The range R of a projectile is defined as the magnitude of the ...
- Physics - For a given initial projectile speed, you observe that the projectile ...
- Calculus (Gr.12) Math - I am not sure how to do this question I know I have to ...
- Physics - The range R of a projectile is defined as the magnitude of the ...
- AP Physics - So my question is about projectile motion. We just learned in class...
- physics - A projectile is projected with speed u at an angle alpha on an ...
- Physics - I'm having trouble where to start with this question.. Any help would...
- physics - A projectile is fired with an initial speed of 65.2 m/s at an angle of...
- classical mechanics - A projectile is launched down ward from the top of ...
- Calculus I - Any help on how to solve this? The range of a projectile launched ...

More Related Questions