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2) The range R of a projectile is related to the initial velocity v and projection angle 2) 0 by the equation R = v² sin 20, where g is a constant. How is dR/dt related to 8 dv/dt and de/dt if neither v nor 0 is constant? A) dt dR dt = v cos 20+ sin 209 dt de dt de v cos 20 +2 sin 209 dt dt de dv dt dt 4v cos 20- 2 [V de dt v cos 20- +sin 20 dv)

2) The range R of a projectile is related to the initial velocity v and projection angle 2) 0 by the equation R = v² sin 20, where g is a constant. How is dR/dt related to 8 dv/dt and de/dt if neither v nor 0 is constant? A) dt dR dt = v cos 20+ sin 209 dt de dt de v cos 20 +2 sin 209 dt dt de dv dt dt 4v cos 20- 2 [V de dt v cos 20- +sin 20 dv)

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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1) If xy2 = 4 and dx/dt = -5, then what is dy/dt when x = 4 and y = 1? D) - 2) The range R of a projectile is related to the initial velocity v and projection angle e by the equation R = v² sin 20 where g is a constant. How is dR/dt related to g dv/dt and de/dt if neither v nor is constant? A) R = 1v C dR dt dt v cos 20 dv V cos 20 de dm A)=-2mv-3dv dt dm C)=- dt +sin 20 de dt dt +2 sin 20 dv) dt A) = Q/sec dt 2m dv v dt. B) B) 5 Q/sec dR D) de dR dt B) D) -H 3) The kinetic energy K of an object with mass m and velocity v is K = mv2.1 How is dm/dt related to dv/dt if K is constant? 4v cos 20 de dv) dt dt 2v = dt 8 20.de v cos 20 dv 2m dm dt v dt. dm m dv dt v dt 4) Electrical systems are governed by Ohm's law, which states that V = IR, where V = voltage, I = current, and R = resistance. If the current in an electrical system is decreasing at a rate of 8 A/s while the voltage remains constant at 30 V, at what rate is the resistance increasing (in Q/sec) when the current is 48 A? (Do not round your answer.) C) 40 Q/sec d+sin 26 dv) D) Q/sec 48 1) 2) 3) 4)
Transcribed Image Text:1) If xy2 = 4 and dx/dt = -5, then what is dy/dt when x = 4 and y = 1? D) - 2) The range R of a projectile is related to the initial velocity v and projection angle e by the equation R = v² sin 20 where g is a constant. How is dR/dt related to g dv/dt and de/dt if neither v nor is constant? A) R = 1v C dR dt dt v cos 20 dv V cos 20 de dm A)=-2mv-3dv dt dm C)=- dt +sin 20 de dt dt +2 sin 20 dv) dt A) = Q/sec dt 2m dv v dt. B) B) 5 Q/sec dR D) de dR dt B) D) -H 3) The kinetic energy K of an object with mass m and velocity v is K = mv2.1 How is dm/dt related to dv/dt if K is constant? 4v cos 20 de dv) dt dt 2v = dt 8 20.de v cos 20 dv 2m dm dt v dt. dm m dv dt v dt 4) Electrical systems are governed by Ohm's law, which states that V = IR, where V = voltage, I = current, and R = resistance. If the current in an electrical system is decreasing at a rate of 8 A/s while the voltage remains constant at 30 V, at what rate is the resistance increasing (in Q/sec) when the current is 48 A? (Do not round your answer.) C) 40 Q/sec d+sin 26 dv) D) Q/sec 48 1) 2) 3) 4)
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