Problem 1FTD: Under what conditions is the magnitude of the vector sum A + B equal to the sum of the magnitudes of... Problem 2FTD: Can two vectors of equal magnitude sum to zero? How about two vectors of unequal magnitude? Problem 3FTD: Can an object have a southward acceleration while moving northward? A westward acceleration while... Problem 4FTD: Youre a passenger in a car rounding a curve. The driver claims the car isnt accelerating because the... Problem 5FTD: In what sense is Equation 3.8 really two (or three) equations? Problem 6FTD: Is a projectiles speed constant throughout its parabolic trajectory? Problem 7FTD: Is there any point on a projectiles trajectory where velocity and acceleration are perpendicular? Problem 8FTD: How is it possible for an object to be moving in one direction but accelerating in another? Problem 9FTD: Youre in a bus moving with constant velocity on a level road when you throw a ball straight up. When... Problem 10FTD: Which of the following are legitimate mathematical equations? Explain, (a) v = 5 m/s; (b) v = 5 m/s;... Problem 11E: You walk 1.57 km north, then 0.846 km cast. Find (a) the magnitude of your displacement vector and... Problem 12E: An ion in a mass spectrometer follows a semicircular path of radius 15.2 cm. What are (a) the... Problem 13E Problem 14E: Vector A has magnitude 3.0 m and points to the right; vector B has magnitude 4.0 m and points... Problem 15E: Use unit vectors to express a displacement of 120 km at 29 counterclockwise from the x-axis. Problem 16E: Find the magnitude of the vector 34 + 13 m and determine its angle to the x-axis. Problem 17E: (a) Whats the magnitude of + ? (b) What angle does it make with the x-axis? Problem 18E: Youre leading an international effort to save Earth from an asteroid heading toward us at 15 km/s.... Problem 19E Problem 20E: A car drives north at 40 mi/h for 10 min, then turns east and goes 5.0 mi at 60 mi/h. Finally, it... Problem 21E: An objects velocity is v = ct3 + d, where t is time and c and d are positive constants with... Problem 22E: A car, initially going eastward, rounds a 90 curve and ends up heading southward. If the speedometer... Problem 23E: What are (a) the average velocity and (b) the average acceleration of the tip of the 2.4-cm-long... Problem 25E: An object is moving in the x-direction at 1.3 m/s when it undergoes an acceleration a = 0.52 m/s2.... Problem 26E Problem 27E: You wish to row straight across a 63-m-wide river. You can row at a steady 1.3 m/s relative to the... Problem 28E: A plane with airspeed 370 km/h flies perpendicularly across the jet stream, its nose pointed into... Problem 29E: A flock of geese is attempting to migrate due south, but the wind is blowing from the west at 5.1... Problem 30E: The position of an object as a function of time is given by r = (3.2t + 1.8t2) + (1.7t 2.4t2) m,... Problem 31E: Youre sailboarding at 6.5 m/s when a wind gust hits, lasting 6.3 s accelerating your board at 0.48... Problem 32E: You toss an apple horizontally at 8.7 m/s from a height of 2.6 m. Simultaneously, you drop a peach... Problem 33E: A carpenter tosses a shingle horizontally off an 8.8-m-high roof at 11 m/s. (a) How long does it... Problem 34E: An arrow fired horizontally at 41 m/s travels 23 m horizontally. From what height was it fired? Problem 35E: Droplets in an ink-jet printer are ejected horizontally at 12 m/s and travel a horizontal distance... Problem 36E: Protons drop 1.2 m over the 1.7-km length of a particle accelerator. Whats their approximate average... Problem 37E: If you can hit a golf ball 180 m on Earth, how far can you hit it on the Moon? (Your answer will be... Problem 38E: Chinas high-speed rail network calls for a minimum turn radius of 7.0 km for 350-km/h trains. Whats... Problem 39E: The minute hand of a clock is 7.50 cm long. Find the magnitude of the acceleration of its tip. Problem 40E: How fast would a car have to round a 75-m-radius turn for its acceleration to be numerically equal... Problem 41E: Determine the acceleration of the Moon, which completes a nearly circular orbit of 384.4 Mm radius... Problem 42E: Global Positioning System (GPS) satellites circle Earth at altitudes of approximately 20,000 km,... Problem 43E Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E Problem 52P: Vector has magnitude 1.0 m and points 35° clockwise from the x-axis. Vector has magnitude 1.8 m.... Problem 53P: Let A = 15 40 and B = 31 + 18k. Find C such that A + B + C = 0. Problem 54P: You’re a pilot beginning a 1280-km flight to a city due south of your starting point. Your plan’s... Problem 55P: A particles position is r = (ct2 2dt3) + (2ct2 dt3), where c and d are positive constants. Find... Problem 56P Problem 57P: Youre designing a cloverleaf highway interchange. Vehicles will exit the highway and slow to a... Problem 58P: An object undergoes acceleration 2.3 + 3.6 m/s2 for 10 s. At the end of this time, its velocity is... Problem 59P: The New York Wheel is the worlds largest Ferris wheel. Its 183 meters in diameter and rotates once... Problem 60P: A ferryboat sails between towns directly opposite each other on a river, moving at speed v relative... Problem 61P: The sum of two vectors, A + B, is perpendicular to their difference, A B. How do the vectors... Problem 62P: A delivery drone approaches a customer’s porch, flying 8.65 m above the porch at 21.5 km/h. (a) At... Problem 63P: An object is initially moving in the .x-direction at 4.5 m/s, when it undergoes an acceleration in... Problem 64P: A particle leaves the origin with its initial velocity given by v0 = 11 + 14 m/s, undergoing... Problem 65P: A kid fires a squirt gun horizontally from 1.6 m above the ground. It hits another kid 2.1 m away... Problem 66P: A projectile has horizontal range R on level ground and reaches maximum height h. Find an expression... Problem 67P: You throw a baseball at a 45 angle to the horizontal, aiming at a friend whos sitting in a tree a... Problem 68P: In a chase scene, a movie stuntman runs horizontally off the flat roof of one building and lands on... Problem 70P: Derive a general formula for the horizontal distance covered by a projectile launched horizontally... Problem 71P: Consider two projectiles launched on level ground with the same speed, at angles 45 . Show that the... Problem 72P: You toss a protein bar to your hiking companion located 8.6 m up a 39 slope, as shown in Fig. 3.24.... Problem 73P: The table below lists position versus time for an object moving in the x-y plane, which is... Problem 74P: A projectile launched at angle to the horizontal reaches mum height h. Show that its horizontal... Problem 75P: As an expert witness, youre testifying in a case involving a motorcycle accident. A motorcyclist... Problem 76P: Show that, for a given initial speed, the horizontal range of a projectile is the same for launch... Problem 77P: A basketball player is 15 ft horizontally front the center of the basket, which is 10 ft off the... Problem 78P: A projectile is launched from the edge of a table, a height h off the floor. It rises to a maximum... Problem 79P: Consider the two projectiles in GOT IT? 3.5. Suppose the 45 projectile is launched with speed v and... Problem 80P: In the 2015 film The Martian, astronauts ride the Hermes spaceship between Earth and Mars. To help... Problem 81P: Your car can sustain an acceleration of 0.825g while turning on a dry road. You’re driving at 90.0... Problem 82P: Your alpine rescue team is using a slingshot to send an emergency medical packet to climbers... Problem 83P: If you can throw a stone straight up to height h. whats the maximum horizontal distance you could... Problem 84P: In a conversion from military to peacetime use, a missile with maximum horizontal range 180 km is... Problem 85P: A soccer player can kick the ball 28 m on level ground, with its initial velocity at 40 to the... Problem 86P: A diver leaves a 3-m board on a trajectory that takes her 2.5 m above the board and then into the... Problem 87P Problem 88P: You're a consulting engineer specializing in athletic facilities, and youve been asked to help... Problem 89P Problem 90P: Your medieval history class is constructing a trebuchet, a catapult-like weapon for hurling stones... Problem 91P: Generalize Problem 84 to find an expression for the angle that will maximize the range of a... Problem 92P: (a) Show that the position of a particle on a circle of radius R with its center at the origin is r... Problem 93P Problem 94P:
After launch, a projectile lands.a horizontal distance 2R from. its launch point and a vertical... Problem 95PP: Alice (A), Bob (B), and Carrie (C) all start from their dorm and head for the library for an evening... Problem 96PP: Alice (A), Bob (B), and Carrie (C) all start from their dorm and head for the library for an evening... Problem 97PP: Alice (A), Bob (B), and Carrie (C) all start from their dorm and head for the library for an evening... Problem 98PP: Alice (A), Bob (B), and Carrie (C) all start from their dorm and head for the library for an evening... format_list_bulleted