A batter hits a baseball so that it leaves the bat at speed v = 37.0 m/s at an angle 80 = 53.1° (a) Find the position of the ball and its velocity (magnitude and direction) at t = 2.00 s. (b) Find the time when the ball reaches the highest point of its flight, and its height h at this time. (c) Find the horizontal range R-that is, the horizontal distance from the starting point to where the ball hits the ground-and the ball's velocity just before it hits. v=37.0 m/s a-53.1°

A batter hits a baseball so that it leaves the bat at speed v = 37.0 m/s at an angle 80 = 53.1° (a) Find the position of the ball and its velocity (magnitude and direction) at t = 2.00 s. (b) Find the time when the ball reaches the highest point of its flight, and its height h at this time. (c) Find the horizontal range R-that is, the horizontal distance from the starting point to where the ball hits the ground-and the ball's velocity just before it hits. v=37.0 m/s a-53.1°

Name: ActivityA batter hits a baseball so that it leaves thebat at speed v=
Uploaded: 2024-03-20T06:57:47.000Z
Channel: Bartleby
Description: ActivityA batter hits a baseball so that it leaves thebat at speed v= 37.0 m/s at an angle 0 =53.1°(a) Find the position of the ball and itsvelocity (magnitude and direction) at t =2.00 s.(b) Find the time when the ball reaches thehighest point of i

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 ball is thrown with initial velocity vo at an angle 00 = 45° above the horizontal, from the roof of a building of height h. It hits the ground after t=1.5 s at d=25 m from the building. (a) Find the height of the roof h. (b) Taking unit vectors i and j as horizontal and vertical unit vectors, respectively; write down the initial velocity vó of the ball. (c) Find the maximum height of the ball from the ground. Compare it with the height of the roof
You kick a ball on the ground, with an aim to hit a wall at height h above the ground. The initial velocity of the ball is 20 m/s and it makes an angle of 30° with respect to the ground. The wall is 15 m away from you. (a) Find the height h at which the ball will hit the wall. (b) Find the angle 0, at which the ball will hit the wall.
An airplane with a speed of 93.6 m/s is climbing upward at an angle of 63.6° with respect to the horizontal. When the plane's altitude is 907 m, the pilot releases a package. (a) Calculate the distance along the ground, measured from a point directly beneath the point of release, to where the package hits the earth. (b) Relative to the ground, determine the angle of the velocity vector of the package just before impact. Use negative sign if the angle is below the horizontal.
In the Olympic shot-put event, an athlete throws the shot with an initial speed of 12 m/s at an angle of 40 degrees above the horizontal. The shot leaves her hand at a height of 1.40 m above the ground. Find R, the shot traveled horizontally? Find the time it takes to reach the ground. With what velocity (magnitude and direction) it hits the ground? Find H, the maximum height it goes to from the point.
A ball is launched horizontally from the top of a 100 m tall building and lands 150 m (horizontal distance) from the base of the building. Ignore air resistance. (a) How long in seconds is the ball in the air? (b) What must have been the initial horizontal component of the velocity in m/s? (c) What is the vertical component of the velocity in m/s just before the ball hits the ground? (d) What is the speed or magnitude of the resultant velocity (including both the horizontal and vertical components) in m/s of the ball just before it hits the ground?
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 student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity v0 = 17 m/s at an angle θ = 27 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position. With what speed, vf in meters per second, does the stone strike the ground?
Suppose that the displacement d(in meters) of an object at tie t (in seconds) satisfies the equation d = 8 - 5 cos(pi x t ). Find the maximum displacement from its resting position, the time required for one oscillation and the frequency.
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 = ( m/s) i + ( 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.
A zombie wolverine is launched with an initial speed v i =37.0 m/s at an initial angle theta i =53.1^ (a) Find the wolverine's position (horizontal and vertical) when t = 2.00s (b) Find the magnitude and direction of the wolverine's velocity when t = 2.00 s. (c) Find the time when the wolverine reaches the highest point of its flight, and find its height h at that point . (d) Find the horizontal range R (the horizontal distance from the starting point to the point where the wolverine hits the ground ).
A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.10 m/s at an angle of 19.0° below the horizontal. It strikes the ground 5.00 s later. (a) How far horizontally from the base of the building does the ball strike the ground? m(b) Find the height from which the ball was thrown. m(c) How long does it take the ball to reach a point 10.0 m below the level of launching? s
A ball is thrown vertically upward with an initial speed of 88 ft/sec from the base A of a cliff with H = 60 ft. Determine the distance h by which the ball clears the top of the cliff and the time t after release for the ball to land at B. Also, calculate the magnitude of the impact velocity vg. Neglect air resistance and the small horizontal motion of the ball. Answers: h = i ft t = i sec VB = i ft/sec