Problem 8: (10% of Assignment Value)
During a baseball game, a baseball is struck, at ground level, by a batter. The ball leaves the baseball bat
with an initial speed $v_0$ = 33.7 m/s at an angle $\theta$ = 17.5° above the horizontal. Let the origin of the
Cartesian coordinate system be the ball's position the instant it leaves the bat. Ignore air resistance
throughout this problem.
Kumar, Daksh - dkumar2@sfsu.edu
@theexpertta.com - tracking id: 6C65-D8-68-49-A740-55722. In accordance with Expert TA's Terms of Service. copying this
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Part (a) ✔
Express the magnitude of the ball's initial horizontal velocity component, $v_{0,x}$, in terms of $v_0$ and $\theta$.
$v_{0,x} = v_0 \cos(\theta)$ ✔ Correct!
Part (b)✓
Express the magnitude of the ball's initial vertical velocity component, $v_{0,y}$, in terms of $v_0$ and $\theta$.
$v_{0,y} = v_0 \sin(\theta)$ ✔ Correct!
Part (c)
Find the ball's maximum vertical height, $h_{max}$, in meters, above the ground.
$h_{max}$ = 5.070 m X Attempts Remain
Part (d) ✓
Enter an expression in terms of $v_0$, $\theta$, and $g$ for the time it takes the ball to travel to its maximum vertical height.
$t_{apex} = v_0 \sin(\theta)/g$ ✔ Correct!
Part (e)
Calculate the horizontal distance, $x_{max}$, in meters, that the ball has traveled when it returns to ground level.
$x_{max}$ = m
Grade Summary
Deductions 0%