undefined Solution (a) To determine: Thevelocity (magnitude and direction) of the plane, relative to the ground. Solution: 174 .33 m/s Explanation: Given: The velocity of the airplane due south V p = 688 k m / h = ( 688 × 10 3 ) 3600 m/s =191 .11 m/s The velocity of the wind from the southwest V w = 90.0 k m / h = 90.0 × 10 3 × 1 3600 = 25 m/s The velocity of the plane relative to the ground V =? Formula used: The direction south coincides with y-axis. The direction east coincides with x- axis. The unit vector along the East is i and the unit vector along the South is j . The velocity of the airplane with respect to ground, V → = V → p + V → w ... ( 1 ) The velocity of the airplane, V p = 0 i ^ - 191 .11 j ^ The velocity of the wind, V w = 25 sin 45 o i ^ + 25 cos 45 o j ^ Calculation: Velocity of the airplane with respect to the ground, V → = ( 0 + 25 sin 45 o ) i ^ + ( − 191.11 + 25 cos 45 o ) j ^ ... ( 2 ) V → = 17 .68 i ^ − 173.43 j ^ T h e magnitude of V → is V= 17.68 2 + ( − 173.43 ) 2 V = 312.58 +30077 .96 V = 30390.54 V = 174.33 m/s Conclusion: The velocity of the plane relative to the ground is 174 .33 m/s . (b) To determine: The distance from its intended position it will be after 11 min if the pilot takes no corrective action. Solution: The distance between the intended and the real position of the flight is x = 11.08 km Explanation: Given: The velocity of the airplane due south, V p =191 .11 m/s The velocity of the wind from the southwest, V w = 25 m/s Time, t = 11 min t = 11 × 60 t = 660 s s Formula used: v e l o c i t y = d i s tan c e t i m e Calculation: The position of the plane after 660s is: The velocity of the plane V → p = 0 i → -191 .11 j → The magnitude, V p = 191 .11 m/s Distance that the plane moves: d = V p × t = 191 .11 × 660 = 126132.6 m Taking the velocity of the plane with respect to air, V → = 17 .68 i → − 173.43 j → The real position of the flight after 11 min, = | V → | × t = 174 .33 × 660 = 115057 .8 The distance between the intended and the real position of the flight is x = 126132 .6 - 115057 .04 x = 11075 .56 m x = 11 .08 km Conclusion: The distance between the intended and the real position of the flight is x = 11 .08 km .

Physics: Principles with Applications, Books a la Carte Edition & Modified Mastering Physics with Pearson eText -- ValuePack Access Card Package

1st Edition

ISBN: 9780321974990

Author: Douglas C. Giancoli

Publisher: PEARSON

See similar textbooks

Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus…

Videos

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 3, Problem 43P

Chapter 3, Problem 45P

Students have asked these similar questions

No chatgpt pls will upvote

An extremely long, solid nonconducting cylinder has a radius Ro. The charge density within the cylinder is a function of the distance R from the axis, given by PE (R) = po(R/Ro)², po > 0.

Chapter 3 Solutions

Physics: Principles with Applications, Books a la Carte Edition & Modified Mastering Physics with Pearson eText -- ValuePack Access Card Package

Ch. 3 - A small heavy box of emergency supplies is dropped...Ch. 3 - One car travels due east at 40 km/h, and a second...Ch. 3 - Can you conclude that a car is not accelerating if...Ch. 3 - Give several examples of an object's motion in...Ch. 3 - Can the displacement vector for a particle moving...Ch. 3 - During baseball practice, a player hits a very...Ch. 3 - If V =V 1+V 2 , is V necessarily greater than V1,...Ch. 3 - Two vectors have length V1=3.5km and V2=4.0km ....Ch. 3 - Can two vectors, of unequal magnitude, add up to...Ch. 3 - Can the magnitude of a vector ever (a) equal, or...

Ch. 3 - Prob. 10Q Ch. 3 - How could you determine the speed a slingshot...Ch. 3 - Prob. 12Q Ch. 3 - Prob. 13Q Ch. 3 - Prob. 14Q Ch. 3 - A projectile is launched at an upward angle of 300...Ch. 3 - Prob. 16Q Ch. 3 - Two cannonballs, A and B, are fired from the...Ch. 3 - 18. A person sitting in an enclosed train car,...Ch. 3 - Prob. 19Q Ch. 3 - Prob. 20Q Ch. 3 - Prob. 21Q Ch. 3 - Prob. 1MCQ Ch. 3 - Prob. 2MCQ Ch. 3 - Prob. 3MCQ Ch. 3 - Prob. 4MCQ Ch. 3 - A baseball player hits a ball that soars high into...Ch. 3 - Prob. 6MCQ Ch. 3 - Prob. 7MCQ Ch. 3 - Which of the three kicks in Fig. 3-32 is in the...Ch. 3 - A baseball is hit high and far. Which of the...Ch. 3 - Prob. 10MCQ Ch. 3 - Prob. 11MCQ Ch. 3 - A car travels 10 m/s east. Another car travels 10...Ch. 3 - A car is driven 225 km west and then 98 km...Ch. 3 - A delivery truck travels 21 blocks north, 16...Ch. 3 - If Vx=9.80 units and Vy=6.40 units, determine the...Ch. 3 - Graphically determine the resultant of the...Ch. 3 - V is a vector 24.8 units in magnitude and points...Ch. 3 - Vector V is 6.6 using long and points along the...Ch. 3 - Figure 3-33 shows two vectors, A and B , whose...Ch. 3 - Prob. 8P Ch. 3 - Three vectors are shown in Fig. 3-35 Q. Their...Ch. 3 - (a) given the vectors A and B shown in Fig. 3-35,...Ch. 3 - Determine the vector AC , given the vectors A and...Ch. 3 - For the vectors shown in Fig. 3—35, determine (a)...Ch. 3 - Prob. 13P Ch. 3 - Prob. 14P Ch. 3 - Prob. 15P Ch. 3 - Prob. 16P Ch. 3 - 17. (l) A tiger leaps horizontally from a...Ch. 3 - 18. (l) A diver running 2.5 m/s dives out...Ch. 3 - Prob. 19P Ch. 3 - Prob. 20P Ch. 3 - 21. (Il) A ball thrown horizontally at 12.2 m/s...Ch. 3 - (Il) A football is kicked at ground level with a...Ch. 3 - Prob. 23P Ch. 3 - You buy a plastic dart gun,and being a clever...Ch. 3 - Prob. 25P Ch. 3 - Extreme-sports enthusiasts have been known to jump...Ch. 3 - A projectile is fired with an initial speed of...Ch. 3 - An athlete performing a long jump leaves the...Ch. 3 - A shot-putter throws the "shot" (mass = 7.3 kg)...Ch. 3 - Prob. 30P Ch. 3 - A rescue plane wants to drop supplies to isolated...Ch. 3 - Suppose the rescue plane of Problem 31 releases...Ch. 3 - Prob. 33P Ch. 3 - Prob. 34P Ch. 3 - Suppose the kick in Example 3—6 is attempted 36.0...Ch. 3 - Revisit Example 3—7, and assume that the boy with...Ch. 3 - A stunt driver wants to make his car jump over 8...Ch. 3 - Prob. 38P Ch. 3 - Huck Finn walks at a speed of 0.70 m/s across his...Ch. 3 - Determine the speed of the boat with respect to...Ch. 3 - Two planes approach each other head-on. Each has a...Ch. 3 - A passenger on a boat moving at 1.70 m/s on a...Ch. 3 - A person in the passenger basket of a hot-air...Ch. 3 - 44. (Il) An airplane is heading due south at a...Ch. 3 - In what direction should the pilot aim the plane...Ch. 3 - 46. (Il) A swimmer is capable of swimming 0.60 m/s...Ch. 3 - (a) At what upstream angle must the swimmer in...Ch. 3 - 48. (Il) A boat, whose speed in still water is...Ch. 3 - Prob. 49P Ch. 3 - Prob. 50P Ch. 3 - Two cars approach a street comer at right angles...Ch. 3 - Prob. 52GP Ch. 3 - Prob. 53GP Ch. 3 - A light plane is headed due south with a speed...Ch. 3 - Prob. 55GP Ch. 3 - Prob. 56GP Ch. 3 - 57. Apollo astronauts took a "nine iron" to the...Ch. 3 - 58. (a) A long jumper leaves the ground at above...Ch. 3 - Prob. 59GP Ch. 3 - Prob. 60GP Ch. 3 - Prob. 61GP Ch. 3 - Prob. 62GP Ch. 3 - Prob. 63GP Ch. 3 - Prob. 64GP Ch. 3 - When Babe Ruth hit a homer over the 8.0-m-high...Ch. 3 - At serve, a tennis player aims to hit the ball...Ch. 3 - Prob. 67GP Ch. 3 - Prob. 68GP Ch. 3 - 69. A boat can travel 2.20 m/s in still water. (a)...Ch. 3 - Prob. 70GP Ch. 3 - Prob. 71GP Ch. 3 - A rock is kicked horizontally at 15 m/s from a...Ch. 3 - Prob. 73GP Ch. 3 - A ball is shot from the top of a building with an...Ch. 3 - If a baseball pitch leaves the pitcher's hand...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.