Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 48° with respect to the 50-yard line (the +x-axis) and covers 7.0 m in 1 s. He then runs straight down the field at 90° with respect to the 50-yard line (that is, in the +y-direction) for 23 m, with an elapsed time of 3.7 s. (Express your answers in vector form.) (a) What is Matthews's final displacement (in m) from the start of the play? Ar = 4.68i – 28.2j x m - (b) What is his average velocity (in m/s)? V ayg 6.38 X m/s %D

Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 48° with respect to the 50-yard line (the +x-axis) and covers 7.0 m in 1 s. He then runs straight down the field at 90° with respect to the 50-yard line (that is, in the +y-direction) for 23 m, with an elapsed time of 3.7 s. (Express your answers in vector form.) (a) What is Matthews's final displacement (in m) from the start of the play? Ar = 4.68i – 28.2j x m - (b) What is his average velocity (in m/s)? V ayg 6.38 X m/s %D

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A train at a constant 65.0 km/h moves east for 30.0 min, then in a direction 50.0° east of due north for 30.0 min, and then west for 40.0 min. What are the (a) magnitude and (b) angle (relative to east) of its average velocity during this trip?
An athlete can jump to a height of 2.0 meters leaving the ground at an angle of θ = 60.0◦ to the horizontal. What is the magnitude of the athlete’s velocity at the moment the athlete leaves the ground (ignore the person’s size/shape).
Miltiadis Tentoglou is the current Olympic gold medalist for the running long jump. In one of Miltiadis’ practices, he insanely attempts to jump five people who are laid out on the ground in single file from head to toe. Each of the five individuals are 1.7 meters in height and when Miltiadis launches off the ground his initial resultant velocity is directed 20 degrees above the horizon and the horizontal component of this resultant velocity is 10 m/s. In executing the jump, Miltiadis’ center of mass drops 0.6 meters vertically from the instant of takeoff to the instant of landing. Calculate Miltiadis’ a) initial and final vertical velocities in m/s, b) initial and final resultant velocity magnitudes in m/s, c) total time in the air in seconds and d) how far he was able to jump horizontally in meters. e) How many centimeters of clearance did Miltiadis have on both sides of the jump when jumping the five individuals (assume the clearance distance is the same on both sides of the…
In the annual battle of the dorms, students gather on the roofs of Jackson and Walton dorms to launch water balloons at each other with slingshots. The horizontal distance between the buildings is 36.0 m, and the heights of the Jackson and Walton buildings are, respectively, 18.0 m and 20.0 m. The first balloon launched by the Jackson team hits Walton dorm 2.00 s after launch, striking it halfway between the ground and the roof. Ignore air resistance. (a) Find the direction of the balloon's initial velocity. Give your answer as an angle (in degrees) measured above the horizontal. (b) A second balloon launched at the same angle hits the edge of Walton's roof. Find the initial speed of this second balloon. (a) Number i Jackson VO Units ====== ===== --0- MacBook Air --7 17 10 17 Walton H
Standing on top of a tower, a man launches a stone at time t=0 from a point 15.0 m above ground level. At the instant of launch, the stone has a speed of u = 5.00 m s-¹ and moves in a direction that makes an angle of 30° with the horizontal x-axis. At t = 2.00 s, the stone is still above ground level. 5x = Sy = 18 What are the x- and y-components of the stone's displacement relative to its launch point at time t = 2.00 s, and what is the stone's distance from its launch point at this time? Enter numbers, correct to 2 significant figures, in the three empty boxes below: S = 30 X B m m X В
A car is 3.0 km west of a traffic light at t = 0 and 7.0 km east of the light at t = 8.0 min. Assume the origin of the coordinate system is the light and the positive x direction is eastward. (a) what are the car’s position vectors at these two times? (b) what is the car’s displacement between 0 min and 6.0 min?
A quarterback takes the ball from the line of scrimmage, runs backwards for 13.0 yards, then runs sideways parallel to the line of scrimmage for 19.0 yards. At this point, he throws a 52.0-yard forward pass straight downfield, perpendicular to the line of scrimmage. What is the magnitude of the football's resultant displacement?
One of the tasks of the Mighty Hercules was to protect the town of Nemea from a lion. One day Hercules sees the lion 320 feet away. He strings his bow and lets an arrow fly. The arrow leaves his bow travelling at 210 feet per second from a height of 6 feet. He wants to hit the lion in the neck above the shoulders which is 4 feet off of the ground. determine the launch angle that will hit the Lion. Find the right angle.
A projectile is launched with an initial velocity 38 m/s and an angle from the horizontal of 45°. The acceleration due to gravity is 9.81 m/s². Assume the projectile is launched from the surface of the Earth. i.e., at y (0) = 0. then the altitude of the projectile as a function of time is: y(t) = gt² + vo sin(0)t Where vo is the initial velocity. What is the maximum altitude achieved by the projectile?
A small rock is projected from the ground with the velocity with magnitude V0 and direction 53.1 degrees above the horizontal. A tall building is a horizontal distance of 26 m from where the rock was launched. The rock strikes the building 2 seconds after being launched. Neglect air resistance and assume the ground is level. At what vertical height above the ground does the rock the building?
In the figure, a stone is projected at a cliff of height h with an initial speed of 49.0 m/s directed at an angle e0 = 53.0° above the horizontal. The stone strikes at A, 5.89 s after launching. Find (a) the height h of the cliff, (b) the speed of the stone just before impact at A, and (c) the maximum height H reached above the ground. (a) Number i Units (b) Number Units (c) Number Units
A puma (aka cougar or mountain lion) is one of the best jumpers among all animals. It can jump to a height of 12.0 feet high when it leaves the ground at an initial angle of 45°. What is the initial speed (in m/s) of the puma as it leaves the ground?