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.)
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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4f75436-93ee-4e58-a0e3-afe0fa0e1ea5%2Fd5448095-8966-4bc9-9c22-c37cd6e5e248%2Fc0ydwdr_processed.jpeg&w=3840&q=75)
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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