c) It's one thing to say "use the initial velocity to find the range," and another thing to actually measure the initial velocity (fyi, there were no radar guns in the 1600s). One method of finding the initial velocity (I encourage you to think about how you might figure this out before reading what I wrote) might be as follows: Take the cannon to the test-fire range, and measure out several, equal masses of gunpowder. • Set the cannon to a typical firing angle, say 5°. • Fire the cannon multiple times, measuring the range of each shot. Since conditions will vary • slightly from one shot to another, the range will vary too. Assuming no major changes in firing conditions, all shots should land in the same area, approximately. If the average range of the test shots was 1480 m, what is the initial velocity for this cannon? d) Now that you know the initial velocity of the cannon, find the equation the artillery crew will use to calculate the appropriate firing angle for a target at a given range, R. (They don't want to do all the work you just did. They need to do a quick calculation and make their adjustments.)
c) It's one thing to say "use the initial velocity to find the range," and another thing to actually
measure the initial velocity (fyi, there were no radar guns in the 1600s). One method of finding the
initial velocity (I encourage you to think about how you might figure this out before reading what I
wrote) might be as follows:
Take the cannon to the test-fire range, and measure out several, equal masses of gunpowder. •
Set the cannon to a typical firing angle, say 5°. •
Fire the cannon multiple times, measuring the range of each shot. Since conditions will vary •
slightly from one shot to another, the range will vary too. Assuming no major changes in firing
conditions, all shots should land in the same area, approximately. If the average range of the
test shots was 1480 m, what is the initial velocity for this cannon?
d) Now that you know the initial velocity of the cannon, find the equation the artillery crew
will use to calculate the appropriate firing angle for a target at a given range, R. (They don't want
to do all the work you just did. They need to do a quick calculation and make their adjustments.)
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