Problem 4: During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial speed vo = 45 m/s at an angle 0 = 27° above horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Air resistance may be ignored throughout this problem. Part (a) Express the magnitude of the ball's initial horizontal velocity vor in terms of vo and 0. Expression : VOx = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(o), cos(0), sin(a), sin(4), sin(0), a. ß, 0, d, g, h, m, t, vo Part (b) Express the magnitude of the ball's initial vertical velocity voy in terms of vo and 0. Expression : Voy %3D Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(o), cos(0), sin(a), sin(o), sin(0), a, ß, 0, d, g, h, m, t, vo Part (c) Find the ball's maximum vertical height hmay in meters above the ground. Numeric A numeric value is expected and not an expression. hmax =

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
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2D Kinematics Question 4: Please answer including steps and reasoning for them.

Problem 4: During a baseball game, a baseball is struck at ground level by a batter.
The ball leaves the baseball bat with an initial speed vo = 45 m/s at an angle 60 = 27°
above horizontal. Let the origin of the Cartesian coordinate system be the ball's
position the instant it leaves the bat. Air resistance may be ignored throughout this
problem.
Part (a) Express the magnitude of the ball's initial horizontal velocity vor in terms of vo and 0.
Expression :
V0x =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a.), cos(4), cos(0), sin(a), sin(4), sin(0), a, ß, 0, d, g, h, m, t, vo
Part (b) Express the magnitude of the ball's initial vertical velocity voy in terms of vo and 0.
Expression :
Voy
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a.), cos(4), cos(0), sin(a), sin(4), sin(0), a, ß, 0, d, g, h, m, t, vo
Part (c) Find the ball's maximum vertical height hmax in meters above the ground.
Numeric : A numeric value is expected and not an expression.
hmax
Part (d) Enter an expression in terms of vo, 0, and g for the time tmax it takes the ball to travel to its maximum vertical height.
Expression :
tmax =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(4), cos(0), sin(a), sin(4), sin(0), a, ß, 0, d, g, h, m, t, vo
Part (e) Calculate the horizontal distance Xmay in meters that the ball has traveled when it returns to ground level.
Numeric : A numeric value is expected and not an expression.
Xmax =
Transcribed Image Text:Problem 4: During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial speed vo = 45 m/s at an angle 60 = 27° above horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Air resistance may be ignored throughout this problem. Part (a) Express the magnitude of the ball's initial horizontal velocity vor in terms of vo and 0. Expression : V0x = Select from the variables below to write your expression. Note that all variables may not be required. cos(a.), cos(4), cos(0), sin(a), sin(4), sin(0), a, ß, 0, d, g, h, m, t, vo Part (b) Express the magnitude of the ball's initial vertical velocity voy in terms of vo and 0. Expression : Voy Select from the variables below to write your expression. Note that all variables may not be required. cos(a.), cos(4), cos(0), sin(a), sin(4), sin(0), a, ß, 0, d, g, h, m, t, vo Part (c) Find the ball's maximum vertical height hmax in meters above the ground. Numeric : A numeric value is expected and not an expression. hmax Part (d) Enter an expression in terms of vo, 0, and g for the time tmax it takes the ball to travel to its maximum vertical height. Expression : tmax = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(4), cos(0), sin(a), sin(4), sin(0), a, ß, 0, d, g, h, m, t, vo Part (e) Calculate the horizontal distance Xmay in meters that the ball has traveled when it returns to ground level. Numeric : A numeric value is expected and not an expression. Xmax =
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