| (1040) Problem, 3; During a baseball game, a baseball is struck at ground leve
ID: 1883207 • Letter: #
Question
| (1040) Problem, 3; During a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial velocity vo 43 m/s at an angle 0y 19 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. 20% Vor Vo cos(0) Correct ó Part (a) Express the magnitude of the ball's initial horizontal velocity vo in terms of vo and o 2096 Part (b) Express the magnitude of the ball's initial vertical velocity vo in terms of vo and 0 voy vo sin(e) Correct! Part (e) Find the ball's maximum vertical height hmar in meters above the ground hmar sin0 cotan) atan() cos0 tan 78 9 4 5 6 *| 1| 2 | 3 asinacoso) | acotan() | sinh() cosh0 an cotanh0 0 Degrees Radians Submit I give up! Hints: 4 for a (09% deduction. Hints remaining O Which component of velocity is important in calculating the ball's Feedback: 1% deduction per feedback.
Explanation / Answer
(c) at maximum, vertical component of velocity will be zero.
vy = 0 at y = h_max
vf^2 - vi^2 = 2 a (yf - yi)
0^2 - (43 sin19)^2 = 2(-9.8)(h_max - 0)
h_max = 10 m
(d) vf = vi + a t
0 = (v0 sin(theta)) - g t
t = (v0 sin(theta)) / g
(e) when returned to ground, yf = 0
yf - yi = viy t + ay t^2 /2
0 - 0 = (43 sin19) t + (-9.8)t^2 /2
t = 1.69 s
x_max= (v0x) t= (43 cos19)(1.69)
= 68.7 m
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