gives the distance x travelled (in feet) by a projectile launched from 32 he formula x = he ground, with initial velocity v (in feet/sec) and initial angle 0 (in radians or degrees). a. Write an expression for the total differential in x. b. Use the total differential to estimate the error in calculating the range of a projectile with initial velocity v 100 ft/sec and initial angle 0=50 degrees, with measurement errors of dv = t10 ft/sec (for velocity) and d03D±5 degrees (for the initial angle). (Note: remember to use radians for the differential in 0.)

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v sin 20
gives the distance x travelled (in feet) by a projectile launched from
32
The formula r% =
the ground, with initial velocity v (in feet/sec) and initial angle 0 (in radians or degrees).
a. Write an expression for the total differential in x.
b. Use the total differential to estimate the error in calculating the range of a projectile with
initial velocityv 100 ft/sec and initial angle 0= 50 degrees, with measurement errors of dv
= t10 ft/sec (for velocity) and d6==5 degrees (for the initial angle). (Note: remember to
use radians for the differential in 0.)
Transcribed Image Text:v sin 20 gives the distance x travelled (in feet) by a projectile launched from 32 The formula r% = the ground, with initial velocity v (in feet/sec) and initial angle 0 (in radians or degrees). a. Write an expression for the total differential in x. b. Use the total differential to estimate the error in calculating the range of a projectile with initial velocityv 100 ft/sec and initial angle 0= 50 degrees, with measurement errors of dv = t10 ft/sec (for velocity) and d6==5 degrees (for the initial angle). (Note: remember to use radians for the differential in 0.)
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