Concept explainers
Lisa in her Lamborghini accelerates at
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Physics for Scientists and Engineers with Modern Physics
- If a spaceship traveling through deep space with the velocity vector as a function of time: v = (2t i +4t j+ 6t k) m/s. (time is in seconds). Given the initial position of the spaceship is r0= (20 i− 50 j − 100 k ) m. At what time would the spaceship be the closest to the origin? and What would the acceleration of the spaceship be at this instant? If you can express the acceleration in Cartesian vector form. Also ? is the unit vector in the z-direction.arrow_forwardAn object's position in the as a function of time obeys the equation; x(t) = 14.2/t2.17 + 5.1t3 where all constants have proper SI Units. What is the speed of the object in the x direction at t = 1.93 seconds?arrow_forwardThe NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a height of 1.18 m above the floor. The ball hits the floor 0.147 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)?arrow_forward
- A spaceship is traveling at a velocity of v0 = (44.7 m/s)i when its rockets fire, giving it an acceleration of a = (3.34 m/s2)i + (4.68 m/s2)k.How fast, in m/s, is the rocket moving 3.44 s after the rockets fire?arrow_forwardThe NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a height of 1.33 m above the floor. The ball hits the floor 0.365 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)? 40.0 m/s^2 20.0 m/s^2 10.0 m/s^2 15.0 m/s^2arrow_forwardPlease asaparrow_forward
- A spaceship ferrying workers to Moon Base I takes a straight-line path from the earth to the moon, a distance of 384,000 km. Suppose it accelerates at an acceleration 20.4 m/s2m/s2 for the first time interval 15.5 minmin of the trip, then travels at constant speed until the last time interval 15.5 minmin , when it accelerates at −− 20.4 m/s2m/s2 , just coming to rest as it reaches the moon. A) What is the maximum speed attained? B) What fraction of the total distance is traveled at constant speed? C) What total time is required for the trip?arrow_forwardyou wake up in a strange room, and this time you drop a ball from a height of 1.79 m above the floor. The ball hits the floor 0.242 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)? 61.1 m/s^2 30.6 m/s^2 45.9 m/s^2 91.7 m/s^2arrow_forwardA boat leave the dock at t=0.00 s and, starting from rest maintains a constant acceleration of (o.464 m/s^2)I relative to the water. Due to currents, however, the water itself is moving with a velocity of (0.416m/s)i + (1.33 m/s)j. How fast is the boat moving, in m/s at t= 4.78 s? How far in meters is the boat from the dock at t= 4.78s?arrow_forward
- A spacecraft has an initial velocity V; =(-32.2 m/s) î+(20.3 m/s)ĵ. The thrusters are fired, and the spacecraft undergoes constant acceleration for 27.6 s resulting in a final velocity of vf =(35.3 m/s) î+(31.4 m/s)ĵ. What is the magnitude, in meters per squared second, of the acceleration? a = | m/s²arrow_forwardA car rounds the clover-leaf at 13 "/s as it enters the 400 meter-long merge zone. a) What acceleration would get its velocity to 31 m/s by the end of the merge zone? +3.960 m/s2 +1.980 m/s2 +0.990 m/s2 +0.0225 "/s2 +1.201 m/s2 +0.405 m/s2 +2.42 "/s2 +18.18 m/s2 +0.211 m/s2arrow_forwardDuring a time interval of five seconds, a particle changed its velocity from V = (5i –5j) m/s to V, = (10i +5j) m/s. The magnitude of the particle's average acceleration (in m/s²) during this time interval is: A. 0.45 B. 5.13 C. 2.24 D. 9.8 E. 12.3arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning