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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