Physics: Asoccer ball is kicked with an initial speed of 8.8 m/s. after 0.179 s it is at its highest point. what was its initial direction of motion? ,

Asoccer ball is kicked with an initial speed of

Ответ:

toshahoskins0098

15.03.2022

To solve the problem we can consider only the motion on the vertical direction (y-axis). Let's the take upward as positive direction, such that the acceleration of the motion (the gravitational acceleration) is negative: g=-9.81 m/s^2

, because it is against the direction of the motion.
The initial speed of the ball on the y-axis is $v_0 \sin \alpha$ , where v_0 = 8.8 m/s

and where $\alpha$ is the angle of the initial velocity v0 with respect to the horizontal, so it's the direction that we want to find.

The law of the velocity on the y-axis is:
$v(t)=v_0 \sin \alpha + gt$
Where t is the time. At its highest point, the vertical velocity of the ball is zero, and this occurs when t=0.179 s: v(0.179 s)=0

. So we can write:
$v(0.179 s)=v_0 \sin \alpha + gt=0$
And substituting the numbers we can find the value of the angle:
$\sin \alpha = \frac{-gt}{v_0}= \frac{-(-9.81 m/s^2)(0.179 s)}{8.8 m/s}=0.20$
$\alpha = \arcsin (0.20)=11.5 ^{\circ}$

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Ответ:

davidsantos3121

20.06.2021

Physics

i believe that they are or there's something out there

Explanation:

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Asoccer ball is kicked with an initial speed of 8.8 m/s. after 0.179 s it is at its highest point. what was its initial direction of motion? ,

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