Physics, 02.08.2019 12:30, dancemomsrule1

During soccer practice, maya kicked a soccer ball 37° off the ground at 25 m/s. at t = 2.2 s after she kicked the ball, was it moving upward in its trajectory, downward in its trajectory, or was it at the apex of its trajectory?

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answered: fatboi82

As per the question Maya kicked the soccer ball at an angle of 37 off the ground.

The initial speed[u] given to the ball is 25 m/s

Resolving u into horizontal and vertical components we get

$u_{x} =ucos37$ and $u_{y} =usin37$

$u_{x}$ is the horizontal component and $u_{y}$ is the vertical component.

The total time of ascent i .e the time taken by the ball to reach at the maximum height is given -

$T_{as.}$ $=\frac{usin\theta}{g}$

Where $\theta$ is the angle of projection with the ground and g is the acceleration due to gravity.

Here $\theta$ =37 degree

So $T_{as.} =\frac{u\sin37}{g}$

= $\frac{25*sin37}{9.8}$

=1.535242 second

As time of ascend is equal to time of descend, so total time of flight

T=3.070484 Second

As per the question she kicked the ball again at t=2.2 s later.

It is obvious from the above that the ball was downward in its trajectory.

answered: demienarravo

At t = 2.2 s after she kicked the ball,the ball is still above and in a down condition

Further explanation

Parabolic motion is a combination of regular straight motion (x-axis) and straight motion changes irregularly (y-axis)

The formulas that apply include:

X-axis:

Vx = Vοx = Vο cos θ

X = Vοx t = Vο cos θ x t

Y-axis:

Vοy = Vο sin θ

Vy = Vοy - gt = Vο sin θ - gt

Y = Vy t - ½ gt²

While the time to reach the maximum / highest point is

Thigh = (Vo sin θ): g

While the time when reaching the maximum distance is 2 times when it reaches the highest point:

Tmax = 2. (Vo sin θ): g

It is known that Maya is kicking the ball with Vo = 25 m / s at an angle of 37° so that the time to reach its highest point:

T high = 25 sin 37/10

T high = 1.5045 seconds

And the maximum time when it reaches the ground again:

T max = 2. 1.5045 = 3.009 seconds

So when t = 2.2 s, the ball is still above and in a down condition

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Keywords : trajectory, ball, Parabolic motion,regular straight motion (x-axis),straight motion changes irregularly (y-axis)

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During soccer practice, maya kicked a soccer ball 37° off the ground at 25 m/s. at t = 2.2 s after s...