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 51P
(II) A ball is thrown horizontally from the top of a cliff with initial speed v0 (at t = 0). At any moment, its direction of motion makes an angle θ to the horizontal (Fig. 3–47). Derive a formula for θ as a function of time, t, as the ball follows a projectile’s path.
FIGURE 3–47 Problem 51.
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FIGURE 3-47
Problem 51.
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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) Extreme-sports enthusiasts have been known to jump off the top of El Capitan, a sheer granite cliff of height 910 m in Yosemite National Park. Assume a jumper runs horizontally off the top of El Capitan with speed 4.0 m/s and enjoys a free fall until she is 150 m above the valley floor, at which time she opens her parachute (Fig. 3–37). (a) How long is the jumper in free fall? Ignore air resis- tance. (b) It is important to be as far away from the cliff as possible before opening the parachute. How far from the cliff is this jumper when she opens her chute? 4.0 m/s 910 m 150 m FIGURE 3-37 Problem 26.arrow_forwardA projectile is launched from ground level to the top of a cliff which is 195 m away and 135 m high (see Fig. 3–56). If the projectile lands on top of the cliff 6.6 s after it is fired, find the initial velocity of the projectile (magnitude and direction). Neglect air resistance. Landing point 135 m vo FIGURE 3–56 Problem 70. 195 marrow_forwardA rock is kicked horizontally at 15 m/s from a hill with a 45° slope (Fig. 3–58). How long does it take for the rock to hit the ground? 15 m/s 45° FIGURE 3-58 Problem 72.arrow_forward
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