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?

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

                        and

is the horizontal component and 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 -

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

Here =37 degree

So

                    =

                    =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.

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

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

A plane is flying east when it drops some supplies

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velocity of ball

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the vertical velocity change

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

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

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