1) A kicked football. A football is kicked at an angle 0=37.0° with a velocity of 20.0 m/s, as shown. Calculate (a) the maximum height, (b) the time of travel before the football hits the ground, (c) how far away it hits the ground

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 3P: A particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial...

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Construct motion diagrams showing the velocity and accelerationof a projectile at several points along its path, assuming(a) the projectile is launched horizontally and (b) the projectileis launched at an angle u with the horizontal.
You can use any coordinate system you like in order to solve a projectile motion problem. To demonstrate the truth of this statement, consider a ball thrown off the top of a building with a velocity v at an angle ? with respect to the horizontal. Let the building be 54.0 m tall, the initial horizontal velocity be 8.60 m/s, and the initial vertical velocity be 12.5 m/s. Choose your coordinates such that the positive y-axis is upward, and the x-axis is to the right, and the origin is at the point where the ball is released. (a) With these choices, find the ball's maximum height above the ground and the time it takes to reach the maximum height. maximum height above ground m time to reach maximum height s (b) Repeat your calculations choosing the origin at the base of the building. maximum height above ground m time to reach maximum height s
99. Subject:- Physics From the window of a building, a ball is tossed from a height y0 above ground with an intial velocity of 8.5 m/s and angle of 19.0 degrees, below the horizontal. It strikes the ground 6.00 seconds later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the intial coordinates ot the ball? xi= yi= (b) with the positive x-direction chosen to be out the window, find the x- and y- components of the intial velocity. Vi x = ____ m/s Vi y = ____ m/s (c) Find the equations for the x- and y- components of the position as functions of time. x= _____m y=_____m (d) how far horizontallt from the base of the building does the ball strike the ground? =_____m (e) find the height from which the ball was thrown. =_____m (f) how long does it take the ball to reach a point 10.0m below the level of launching? =_____s
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A particle initially located at the origin has an acceleration of a⃗ = 3.0ĵm/s2 and an initial velocity of vi = 500îm/s Find (a) the vector position and velocity at any time t and (b) the coordinates and speed of the particle at t = 2.00 s.
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…
PLEASE ANSWER ASAP: A 4.61m-tall truck is moving an initial speed of 15.32m/s due West with an acceleration of 0.22 m/s^2 with a 1.66m- person standing at the top of a truck. After 17.93s, the man throws a ball to the ground at shoulder level perpendicular to the left of the truck's direction with an initial velocity of 23.53 m/s at an angle of 42.80° above the horizontal. Assuming shoulder level is 80% of the total height and negligible air resistance, determine the magnitude and direction of the displacement of the ball upon impact. [Use positive angle and CCW]
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In a football game, a player wants to kick the ball as far as possible, but also make sure that it stays in the air as long as possible, so that there is enough time for other players to run down the field and tackle the receiver. If the football is supposed to travel a distance of 49.8 m and stay in the air for 4.41 s, what initial angle and speed does the player have to provide? You can assume that the initial and final vertical coordinate are zero. Hint: Start from the range equation that you derived in class.