Problem 1Q: One car travels due east at 40 km/h. and a second car travels north al 40 km/h. Arc their velocities... Problem 2Q: Can you conclude that a car is not accelerating if its speedometer indicates a steady 60 km/h? Problem 3Q: Can you give several examples of an objects motion in which a great distance is traveled but the... Problem 4Q: Can the displacement vector for a particle moving in two dimensions ever be longer than the length... Problem 5Q: During baseball practice, a batter hits a very high fly ball and then runs in a straight line and... Problem 6Q: If V=V1+V2, is V necessarily greater than V1 and/or V2? Discuss. Problem 7Q: Two vectors have length V1 = 3.5 km and V2 = 4.0 km. What are the maximum and minimum magnitudes of... Problem 8Q: Can two vectors, of unequal magnitude, add up to give the zero vector? Can three unequal vectors?... Problem 9Q: Can the magnitude of a vector ever (a) equal, or (b) be less than, one of its components? Problem 10Q: Can a particle with constant speed be accelerating? What if it has constant velocity? Problem 11Q: Does the odometer of a car measure a scalar or a vector quantity? What about the speedometer? Problem 12Q: A child wishes to determine the speed a slingshot imparts to a rock. How can this be done using only... Problem 13Q: In archery, should the arrow be aimed directly at the target? How should your angle of aim depend on... Problem 14Q: A projectile is launched at an upward angle of 30 to the horizontal with a speed of 30 m/s. How does... Problem 15Q: A projectile has the least speed at what point in its path? Problem 16Q: It was reported in World War I that a pilot flying at an altitude of 2 km caught in his bare hands a... Problem 17Q: Two cannonballs, A and B, are fired from the ground with identical initial speeds, but with A larger... Problem 18Q: A person sitting in an enclosed train car, moving at constant velocity, throws a hall straight up... Problem 19Q: If you are riding on a train that speeds past another train moving in the same direction on an... Problem 20Q: Two rowers, who can row at the same speed in still water, set off across a river at the same time.... Problem 21Q: If you stand motionless under an umbrella in a rainstorm where the drops fall vertically you remain... Problem 1P: (I) A car is driven 225 km west and then 78 km southwest (45). What is the displacement of the car... Problem 2P: (I) A delivery truck travels 28 blocks north, 16 blocks east, and 26 blocks south. What in its final... Problem 3P: (I) If x = 7.80 units and Vy = 6.40 units, determine the magnitude and direction of V. Problem 4P: (II) Graphically determine the resultant of the following three vector displacements: (1) 24 m, 36... Problem 5P: (II) V is a vector 24.8 units is magnitude and points at an angle of 23.4 above the negative x axis.... Problem 6P: (II) Figure 336 shows two vectors, A and B. whose magnitudes arc A = 6.8 units and B = 5.5 units.... Problem 7P: (II) An airplane is travelling; 835 km/h m a direction 41.5 west of north (Fig. 337), (a) Find the... Problem 8P Problem 9P: (II) (a) Determine the magnitude and direction of the sum of the three vectors V1=4.0i8.0j, V2=i+j,... Problem 10P: (II) Three vectors are shown in Fig, 338. Their magnitudes are given in arbitrary units. Determine... Problem 11P: (II) (a) Given the vectors A and B shown in Fig. 338, determine BA. (b) Determine AB without using... Problem 12P: (II) Determine the vector AC, given the vectors A and C in Fig. 3-38. FIGURE 338 Problems 10, 11,... Problem 13P: (II) For the vectors shown in Fig. 338, determine (a) B2A, (b) 2A3B+2C. Problem 14P: (II) For the vectors given in Fig. 338, determine (a) AB+C, (b) A+BC, and (c) CAB. Problem 15P: (II) The summit of a mountain. 2450 m above base camp, is measured on a map to be 4580 m... Problem 16P: (III) You are given a vector in the xy plane that has a magnitude of 90.0 units and a y component of... Problem 17P: (I) The position of a particular particle as a function of time is given by... Problem 18P: (I) What was the average velocity of the particle in Problem 17 between t = 1.00s and t = 3.00s?... Problem 19P: (II) What is the shape of the path of the particle of Problem 17? Problem 20P: (II) A car is moving with speed 18.0m/s due south at one moment and 27.5 m/s due east 8.00s later.... Problem 21P: (II) At t = 0, a particle starts from rest at x = 0, y = , and moves in the xy plane with an... Problem 22P: (II) (a) A skier is accelerating down a 30.0 hill at 1.80 m/s2 (Fig. 39). What is the vertical... Problem 23P: (II) An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 2.00... Problem 24P: (II) A particle starts from the origin at t = 0 with an initial velocity of 5.0 m/s along the... Problem 25P: (II) Suppose the position of an object is given by r=(3.0t2i6.0t3j)m. (a) Determine its velocity v... Problem 26P: (II) An object, which is at the origin at time t = 0, has initial velocity v0=(14.0i7.0j)m/s and... Problem 27P: (II) A particles position as a function of time t is given by r=(5.0t+6.0t2)mi+(7.03.0t3)mj. At t =... Problem 28P: (I) A tiger leaps horizontally from a 7.5-m-high rock with a speed of 3.2 m/s. How far from the base... Problem 29P: (I) A diver running 2.3 m/s dives out horizontally from the edge of a vertical cliff and 3.0 s later... Problem 30P: (II) Estimate how much farther a person can jump on the Moon as compared to the Earth it the takeoff... Problem 31P: (II) A fire hose held near the ground shoots water at a speed of 6.5 m/s. At what angle(s) should... Problem 32P: (II) A ball is brown horizontally from the roof of a building 9.0m tall and lands 9.5 m from the... Problem 33P: (II) A football is kicked at ground level with a speed of 18.11 m/s at an angle of 38.0 to the... Problem 34P: (II) A ball thrown horizontally at 23.7 m/s from the roof of a building lands 31.0m from the base of... Problem 35P: (II) A shot-putter throws the shot (mass = 7.3 kg) with an initial speed of 14.4 m/s at a 34.0 angle... Problem 36P: (II) Show that the time retired for a projectile to reach its highest point is equal to the time for... Problem 37P: (II) You buy a plastic dart gun, and being a clever physics student you decide to do a quick... Problem 38P: (II) A baseball is hit with a speed of 27,0m/s at an angle of 45.0. It lands on the flat roof of a... Problem 39P: (II) In Example 311 we chose the x axis to the right and y axis up. Redo this problem by defining... Problem 40P: (II) A grasshopper hops down a level road. On each hop, the grasshopper launches itself at angle 0 =... Problem 41P: (II) Extreme-sports enthusiasts have been known to jump off the top of El Capitan, a sheer granite... Problem 42P: (II) Here is something to try at a sporting event. Show that the maximum height h attained by an... Problem 43P: (II) The pilot of an airplane traveling 170km/h wants to drop supplies to flood victims isolated on... Problem 44P: (II) (a) A long jumper leaves the ground at 45 above the horizontal and lands 8.0 m away. What is... Problem 45P: (II) A high diver leaves the end of a 5.0-m-high diving hoard and strikes the water 1.3 s later. 3.0... Problem 46P: (II) A projectile is shot from the edge of a cliff 115m above ground level with an initial speed of... Problem 47P: (II) Suppose the kick in Example 3-7 is attempted 36.0m from the goalposts, whose crossbar is 3.00 m... Problem 48P: (II) Exactly 3.0s after a projectile is fired into the air from the ground, it is observed to have a... Problem 49P: (II) Revisit Example 39, and assume that the boy with the slingshot is below the boy in the tree... Problem 50P: (II) A ball is thrown horizontally form the top of a cliff with initial speed v0 (at t = 0). At any... Problem 51P: (II) A ball is thrown horizontally from the top of a cliff with initial speed v0 (at t = 0). At any... Problem 52P: (II) At what projection angle will the range of a projectile equal its maximum height? Problem 53P: (II) A projectile is fired with an initial speed of 46.6m/s at an angle of 42.2 above the horizontal... Problem 54P: (II) An athlete executing a long jump leaves the ground at a 27.0 angle and lands 7.80 m away. (a)... Problem 55P: (III) A person stands at the base of a hill that is a straight incline making an angle with the... Problem 56P: (III) Derive a formula for the horizontal range R, of a projectile when it lands at a height h above... Problem 57P: (I) A person going for a morning jog on the deck of a cruise ship is running toward the bow (front)... Problem 58P: (I) Huck Finn walks at a speed of 0.70m/s across his raft (that is, he walks perpendicular to the... Problem 59P: (II) Determine the speed of the boat with respect to the shore in Example 314. Problem 60P: (II) Two planes approach each other head-on. Each has a speed of 780 km/h, and they spot each other... Problem 61P: (II) A child, who is 45 m from the bank of a river, is being carried helplessly downstream by the... Problem 62P: (II) A passenger on a boat moving at 1.70 m/s on a still lake walks up a flight of stairs at a speed... Problem 63P: (II) A person in the passenger basket of a hot-air balloon throws a ball horizontally outward from... Problem 64P: (II) An airplane is heading due south at a speed of 580 km/h. If a wind begins blowing from the... Problem 65P: (II) In what direction should the pilot aim the plane in Problem 64 so that it will fly due south? Problem 66P: (II) Two cars approach a street corner at right angles to each other (see Fig. 535). Car 1 travels... Problem 67P: (II) A swimmer is capable of swimming 0.60 m/s in still water, (a) If she aims her body directly... Problem 68P: (II) A swimmer is capable of swimming 0.60m/s in still water. (a) If she aims her body directly... 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... Problem 70P: (II) A boat, whose speed in still water is 2.70 m/s, must cross a 280-m-wide river and arrive at a... Problem 71P: (III) An airplane, whose air speed is 580 km/h, is supposed to fly in a straight path 38.0 N of E.... Problem 72GP: Two vectors, V1 and V2, add to a resultant V=V1+V2. Describe V1 and V2 if (a) V = V1 + V2, (b)... Problem 73GP: A plumber slops out of his truck, walks 66 m east and 35 m south, and then takes an elevator 12 m... Problem 74GP: On mountainous downhill roads escape routes are sometimes placed to the side of the road for trucks... Problem 75GP: A light plane is headed due south with a speed relative to still air of 185 km/h. After 1.00 h, the... Problem 76GP: An Olympic long jumper is capable of jumping 8.0 m. Assuming his horizontal speed is 9.1 m/s as he... Problem 77GP: Romeo is chucking pebbles gently up to Juliets window, and he wants the pebbles to hit the window... Problem 78GP: Raindrops make an angle with the vertical when viewed through a moving train window (Fig, 356). If... Problem 79GP: Apollo astronauts took a nine iron to the Moon and hit a golf ball about 180 m. Assuming that the... Problem 80GP: A hunter aims directly at a target (on the same level) 68.0 m away, (a) If the bullet leaves the gun... Problem 81GP: The cliff divers of Acapulco push off horizontally from rock platforms about 35 m above the water,... Problem 82GP: When Babe Ruth hit a homer over the 8.0-m-high right-field fence 98m from home plate, roughly what... Problem 83GP: The speed of a boat in still water is v. The boat is to make a round trip in a river whose current... Problem 84GP: At serve, a tennis player aims to hit the ball horizontally. What minimum speed is required for the... Problem 85GP: Spymaster Chris, flying a constant 208 km/h horizontally in a low-flying helicopter, wants to drop... Problem 86GP: A basketball leaves a players hands at a height of 2.10 m above the floor. The basket is 3.05 m... Problem 87GP: A particle has a velocity of v=(2.0i+3.5tj)m/s. The particle starts at r=(1.5i3.1j)m at t = 0. Give... Problem 88GP: A projectile is launched from ground level to the top of a cliff which is 195 m away and 135 m high... Problem 89GP: In hot pursuit, Agent Logan of the FBI must get directly across a 1200-m-wide river in minimum time.... Problem 90GP: A boat can travel 2.20 m/s in still water, (a) If the boat points its prow directly across a stream... Problem 91GP: A boat is traveling where there is a current of 0.20m/s east (Fig. 361). To avoid some offshore... Problem 92GP: A child runs down a 12 hill and suddenly jumps upward at a 15 angle above horizontal and lands 1.4 m... Problem 93GP: A basketball is shot from an initial height or 2.4 m (Fig.362) with an initial speed v0 = 12 m/s... Problem 94GP: You are driving south on a highway at 25 m/s (approximately 55 mi/h) in a snowstorm. When you last... Problem 95GP: A rok is kicked horizontally at 15 m/s from a hill with a 45 slope (Fig. 363). How long does it take... Problem 96GP: A batter hits a fly ball which leaves the bat 0.90 m above the ground at an angle of 61 with an... Problem 97GP: A ball is shot from the top of a building with an initial velocity of 18 m/s at an angle = 42 above... Problem 98GP: At t = 0 a batter hits a baseball with an initial speed of 28 m/s at a 55 angle to the horizontal.... Problem 99GP: (II) Students shoot a plastic ball horizontally from a projectile launcher. They measure the... Problem 100GP: (III) A shot-putter throws from a height h = 2.1 m above the ground as shown in Fig. 365, with an... format_list_bulleted