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 45° with respect to the 50-yard line and covers 8.0 m in 1 s. He then runs straight down the field at 90° with respect to the 50-yard line for 12 m, with an elapsed time of 1.2 s. (a) What is Matthews’ final displacement from the start of the play? (b) What is his average velocity?

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 45° with respect to the 50-yard line and covers 8.0 m in 1 s. He then runs straight down the field at 90° with respect to the 50-yard line for 12 m, with an elapsed time of 1.2 s. (a) What is Matthews’ final displacement from the start of the play? (b) What is his average velocity?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter5: Displacement And Force In Two Dimensions

Section5.1: Vectors

Problem 3PP

See similar textbooks

Similar questions

A quarterback takes the ball from the line of scrimmage, runs backward for 16 yards, then runs parallel to the line of scrimmage for 23 yards. At this point, he throws a 49 yards forward pass straight down field, perpendicular to the line of scrimmage. What is the magnitude of the football’s resultant displacement? Answer in units of yards.
The world long jump record is 8.95 m (Mike Powell, USA, 1991). Treated as a projectile, what is the maximum range, in meters, obtainable by a person if he or she has a take-off speed of 8.2 m/s? Assume the motion is over level ground and the initial velocity makes an angle of 45° with the horizontal.
A cannon ball is fired with an initial speed of 123 m/s at angle of 60 degrees from the horizontal. Express the initial velocity as a linear combination of its unit vector components. Vo - ( mis) 7 + m/s) ? At the maximum height, the speed of the cannon ball is v= m/s and the magnitude of its acceleration is a- m/s?. The time needed to reach maximum height is t- S. The maximum height reached by the cannon ball is H= m.
The 18th hole at Pebble Beach Golf Course is a dogleg to the left of length 496.0 m. The fairway off the tee is taken to be the x-direction. A golfer hits his tee shot a distance of 200.0 m, corresponding to a displacement Ar, 200.0 m î, and hits his second shot 190.1 m with a displacement Ar, 170.0 m î + 85.0 m j. What is the final displacement of the golf ball from the tee (in m)? (Express your %3D %3D answer in vector form.) Ar. total m
Suppose that a particle begins its motion from the origin and meets the velocity (in m / s) given by: vx (t) = 2.50t vy (t) = 3.50√t. for t> 0 in seconds. Find the speed of the particle at t = 5.00 s What is the acceleration vector (in rectangular components) at t = 2.00 s ? Find the magnitude of the displacement between t = 0.00 s and t = 6.00 s
A golfer takes four shots from start to the hole. These are: a 170 m drive south, a 40 m drive east, a 3 m put west and a 1 m put north. What is the magnitude of the resultant displacement of the ball?
A particle located initially at (1.5ˆj + 4.0ˆk) m undergoes a displacement of (2.5ˆi+ 3.2ˆj − 1.2ˆk) m. (a) What is the final position of the particle? (b) If the time needed to displace the particle from its initial position to its final position is 5 s, determine the particle’s average velocity vector.
A Chinook (King) salmon (Genus Oncorynchus) can jump out of water with a speed of 5.55 m/s. If the salmon is in a stream with water speed equal to 1.65 m/s, how high in the air can the fish jump if it leaves the water traveling vertically upwards relative to the Earth?
A quarterback takes the ball from the line of scrimmage, runs backwards for 9.0 yards, then runs sideways parallel to the line of scrimmage for 15.0 yards. At this point, he throws a 42.0-yard forward pass straight downfield, perpendicular to the line of scrimmage. What is the magnitude of the football's resultant displacement? (in yards)
A regulation volleyball court measures L = 18.0 meters in length and d = 2.43 meters in height. A volleyball player hits the ball from a height of h = 1.50 m just over the backline, and the initial velocity of the ball creates an angle of q = 30° with the ground. At what initial speed must the ball be struck such that it barely clears the net?
During the siege of Constantinople that led to its conquest by the Ottomans in 1453, the Hungarian engineer Orban built a set of bombards (primitive cannon) to throw enormous stones at the city to breach its walls. The largest of these could throw a 300 kg stone a distance x = 2 km. Assume that the stone was launched at an angle of 0 = 45 degrees above the horizontal; in the absence of air resistance, this gives the largest range. a) What speed did the stone have to be launched at to achieve this range? b) How long was the ball in the air? c) How fast was the ball traveling at the apex of its flight?
A particle starts from the origin at t = 0 with an initial veloc- ity having an x component of 20 m/s and a y component of – 15 m/s. The particle moves in the xy plane with an x component of acceleration only, given by a, = 4.0 m/s². (A) Determine the components of the velocity vector at any time and the total velocity vector at any time.