Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 3, Problem 69P
(II) A motorboat whose speed in still water is 3.40 m/s must aim upstream at an angle of 19.5° (with respect to a line perpendicular to the shore) in order to travel directly across the stream. (a) What is the speed of the current? (b) What is the resultant speed of the boat with respect to the shore? (See Fig. 3–31.)
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- (II) A child, who is 45 m from the bank of a river, is being
carried helplessly downstream by the river's swift current
of 1.0 m/s. As the child passes a lifeguard on the river's
bank, the lifeguard starts swimming in a straight line
(Fig. 3–46) until she reaches the child at a point downstream.
If the lifeguard can swim at a speed of 2.0 m/s relative
to the water, how long does it take her to reach the child?
How far downstream does the lifeguard intercept the
child?
1.0 m/s
2.0 m/s
- 45 m
FIGURE 3-46 Problem 49.
). A boat heads 30 west of north with a water speed of 24 m/s. Determine its
resultant velocity, relative to the ground, when it encounters ai0m/s current
from 30° north of east.
(II) A swimmer is capable of swimming 0.60 m/s in stillwater. (a) If she aims her body directly across a 45-m-wideriver whose current is 0.50 m/s ,how far downstream (froma point opposite her starting point) will she land? (b) Howlong will it take her to reach the other side?
Chapter 3 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 3.2 - Under what conditions can the magnitude of the...Ch. 3.2 - If the two vectors of Example 31 are perpendicular...Ch. 3.3 - What does the incorrect vector in Fig. 36c...Ch. 3.8 - Two balls are thrown in the air at different...Ch. 3.8 - The maximum range of a projectile is found to be...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 - Can you give several examples of an objects motion...Ch. 3 - Can the displacement vector for a particle moving...Ch. 3 - During baseball practice, a batter hits a very...
Ch. 3 - If V=V1+V2, is V necessarily greater than V1...Ch. 3 - Two vectors have length V1 = 3.5 km and V2 = 4.0...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 - Can a particle with constant speed be...Ch. 3 - Does the odometer of a car measure a scalar or a...Ch. 3 - A child wishes to determine the speed a slingshot...Ch. 3 - In archery, should the arrow be aimed directly at...Ch. 3 - A projectile is launched at an upward angle of 30...Ch. 3 - A projectile has the least speed at what point in...Ch. 3 - It was reported in World War I that a pilot flying...Ch. 3 - Two cannonballs, A and B, are fired from the...Ch. 3 - A person sitting in an enclosed train car, moving...Ch. 3 - If you are riding on a train that speeds past...Ch. 3 - Two rowers, who can row at the same speed in still...Ch. 3 - If you stand motionless under an umbrella in a...Ch. 3 - (I) A car is driven 225 km west and then 78 km...Ch. 3 - (I) A delivery truck travels 28 blocks north, 16...Ch. 3 - (I) If x = 7.80 units and Vy = 6.40 units,...Ch. 3 - (II) Graphically determine the resultant of the...Ch. 3 - (II) V is a vector 24.8 units is magnitude and...Ch. 3 - (II) Figure 336 shows two vectors, A and B. whose...Ch. 3 - (II) An airplane is travelling; 835 km/h m a...Ch. 3 - Prob. 8PCh. 3 - (II) (a) Determine the magnitude and direction of...Ch. 3 - (II) Three vectors are shown in Fig, 338. Their...Ch. 3 - (II) (a) Given the vectors A and B shown in Fig....Ch. 3 - (II) Determine the vector AC, given the vectors A...Ch. 3 - (II) For the vectors shown in Fig. 338, determine...Ch. 3 - (II) For the vectors given in Fig. 338, determine...Ch. 3 - (II) The summit of a mountain. 2450 m above base...Ch. 3 - (III) You are given a vector in the xy plane that...Ch. 3 - (I) The position of a particular particle as a...Ch. 3 - (I) What was the average velocity of the particle...Ch. 3 - (II) What is the shape of the path of the particle...Ch. 3 - (II) A car is moving with speed 18.0m/s due south...Ch. 3 - (II) At t = 0, a particle starts from rest at x =...Ch. 3 - (II) (a) A skier is accelerating down a 30.0 hill...Ch. 3 - (II) An ant walks on a piece of graph paper...Ch. 3 - (II) A particle starts from the origin at t = 0...Ch. 3 - (II) Suppose the position of an object is given by...Ch. 3 - (II) An object, which is at the origin at time t =...Ch. 3 - (II) A particles position as a function of time t...Ch. 3 - (I) A tiger leaps horizontally from a 7.5-m-high...Ch. 3 - (I) A diver running 2.3 m/s dives out horizontally...Ch. 3 - (II) Estimate how much farther a person can jump...Ch. 3 - (II) A fire hose held near the ground shoots water...Ch. 3 - (II) A ball is brown horizontally from the roof...Ch. 3 - (II) A football is kicked at ground level with a...Ch. 3 - (II) A ball thrown horizontally at 23.7 m/s from...Ch. 3 - (II) A shot-putter throws the shot (mass = 7.3 kg)...Ch. 3 - (II) Show that the time retired for a projectile...Ch. 3 - (II) You buy a plastic dart gun, and being a...Ch. 3 - (II) A baseball is hit with a speed of 27,0m/s at...Ch. 3 - (II) In Example 311 we chose the x axis to the...Ch. 3 - (II) A grasshopper hops down a level road. On each...Ch. 3 - (II) Extreme-sports enthusiasts have been known to...Ch. 3 - (II) Here is something to try at a sporting event....Ch. 3 - (II) The pilot of an airplane traveling 170km/h...Ch. 3 - (II) (a) A long jumper leaves the ground at 45...Ch. 3 - (II) A high diver leaves the end of a 5.0-m-high...Ch. 3 - (II) A projectile is shot from the edge of a cliff...Ch. 3 - (II) Suppose the kick in Example 3-7 is attempted...Ch. 3 - (II) Exactly 3.0s after a projectile is fired into...Ch. 3 - (II) Revisit Example 39, and assume that the boy...Ch. 3 - (II) A ball is thrown horizontally form the top of...Ch. 3 - (II) A ball is thrown horizontally from the top of...Ch. 3 - (II) At what projection angle will the range of a...Ch. 3 - (II) A projectile is fired with an initial speed...Ch. 3 - (II) An athlete executing a long jump leaves the...Ch. 3 - (III) A person stands at the base of a hill that...Ch. 3 - (III) Derive a formula for the horizontal range R,...Ch. 3 - (I) A person going for a morning jog on the deck...Ch. 3 - (I) Huck Finn walks at a speed of 0.70m/s across...Ch. 3 - (II) Determine the speed of the boat with respect...Ch. 3 - (II) Two planes approach each other head-on. Each...Ch. 3 - (II) A child, who is 45 m from the bank of a...Ch. 3 - (II) A passenger on a boat moving at 1.70 m/s on a...Ch. 3 - (II) A person in the passenger basket of a hot-air...Ch. 3 - (II) An airplane is heading due south at a speed...Ch. 3 - (II) In what direction should the pilot aim the...Ch. 3 - (II) Two cars approach a street corner at right...Ch. 3 - (II) A swimmer is capable of swimming 0.60 m/s in...Ch. 3 - (II) A swimmer is capable of swimming 0.60m/s in...Ch. 3 - (II) A motorboat whose speed in still water is...Ch. 3 - (II) A boat, whose speed in still water is 2.70...Ch. 3 - (III) An airplane, whose air speed is 580 km/h, is...Ch. 3 - Two vectors, V1 and V2, add to a resultant...Ch. 3 - A plumber slops out of his truck, walks 66 m east...Ch. 3 - On mountainous downhill roads escape routes are...Ch. 3 - A light plane is headed due south with a speed...Ch. 3 - An Olympic long jumper is capable of jumping 8.0...Ch. 3 - Romeo is chucking pebbles gently up to Juliets...Ch. 3 - Raindrops make an angle with the vertical when...Ch. 3 - Apollo astronauts took a nine iron to the Moon and...Ch. 3 - A hunter aims directly at a target (on the same...Ch. 3 - The cliff divers of Acapulco push off horizontally...Ch. 3 - When Babe Ruth hit a homer over the 8.0-m-high...Ch. 3 - The speed of a boat in still water is v. The boat...Ch. 3 - At serve, a tennis player aims to hit the ball...Ch. 3 - Spymaster Chris, flying a constant 208 km/h...Ch. 3 - A basketball leaves a players hands at a height of...Ch. 3 - A particle has a velocity of v=(2.0i+3.5tj)m/s....Ch. 3 - A projectile is launched from ground level to the...Ch. 3 - In hot pursuit, Agent Logan of the FBI must get...Ch. 3 - A boat can travel 2.20 m/s in still water, (a) If...Ch. 3 - A boat is traveling where there is a current of...Ch. 3 - A child runs down a 12 hill and suddenly jumps...Ch. 3 - A basketball is shot from an initial height or 2.4...Ch. 3 - You are driving south on a highway at 25 m/s...Ch. 3 - A rok is kicked horizontally at 15 m/s from a hill...Ch. 3 - A batter hits a fly ball which leaves the bat 0.90...Ch. 3 - A ball is shot from the top of a building with an...Ch. 3 - At t = 0 a batter hits a baseball with an initial...Ch. 3 - (II) Students shoot a plastic ball horizontally...Ch. 3 - (III) A shot-putter throws from a height h = 2.1 m...
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- (II) A boat, whose speed in still water is 2.50 m/s, must cross a 285-m-wide river and arrive at a point 118 m upstream from where it starts (Fig. 3–45). To do so, the pilot must head the boat at a 45.0° upstream angle. What is the speed of the river's current? +118 m→ Finish River `current 285 m 45.0° FIGURE 3-45 Start Problem 48. Path of boatarrow_forward(II) Determine the speed of the boat with respect to theshore in Example 3–10.arrow_forward(II) An airplane is heading due south at a speed of 688 km/hIf a wind begins blowing from the southwest at a speed of 90.0 km/h (average), calculate (a) the velocity (magnitude and direction) of the plane, relative to the ground, and (b) how far from its intended position it will be after 11.0 min if the pilot takes no corrective action.[Hint: First draw a diagram.arrow_forward
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