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nadya68 [22]
3 years ago
12

A football is thrown horizontally with an initial velocity of (16.6 m/s)x^. ignoring air resistance, the average acceleration of

the football over any period of time is (-9.81 m/s2)y^.find the magnitude of the velocity at this time.
Physics
2 answers:
Andrei [34K]3 years ago
5 0

Solution:

According to the equations for 1-D kinematics. The only change to them is that instead one equation that describes general motion.

So we will have to use the equations twice: once for motion in the x direction and another time for the y direction.  

v_f=v_o + at ……..(a)

 [where v_f and v_o are final velocity and initial velocity, respectively]

Now ,

Initially, there was y velocity, however gravity began to act on the football, causing it to accelerate.  

Applying this value in equation (a)  

v_yf = at = -9.81 m/s^s * 1.75 = -17.165 m/s in the y direction  

For calculating the magnitude of the equation we have to square root the given value

         (16.6i - 17.165y)  

\\ \left | V  \right |=sqrt{16.6^{2}+17.165^{2}}\\ = \sqrt{275.56+294.637225}\\= \sqrt{570.197225}\\= 23.87[/tex]

rosijanka [135]3 years ago
4 0

The football's speed, at any period of time, is given by v= \sqrt{(16.6)^2 + (9.81 \cdot t)^2}.

<h3>Further explanation</h3>

It seems some information is missing on the question, however we will try to answer the question the best as possible. Assuming that the football is thrown horizontally, let's say, from the edge of a cliff, then the football would be in what is called a "free fall". Free falling objects are those in which the only force which acts upon those bodies is gravity.

As the football falls, it gains velocity in the vertical direction (since gravity keeps pushing the object down), while its horizontal velocity remains constant (since we are ignoring air resistance, which is a very logical assumption). We can write this in equations as:

v_x = 16.6

v_y = -9.81 \cdot t

Where v_x and v_y are the horizontal and vertical velocities respectively. Speed is the magnitude of the velocity vector, and we can compute it in the following way:

V(t)= \sqrt{(v_x)^2 + (v_y)^2} =\sqrt{(16.6)^2 + (9.81 \cdot t)^2}

The above expression is useful since allows us to compute the speed of the object at any time, let's compare the velocity of the object at 1, 2, and 3 seconds:

V(1)= \sqrt{(16.6)^2 + (9.81 \cdot 1)^2} = 19.28 <em>m/s</em>

V(2)=\sqrt{(16.6)^2 + (9.81 \cdot 2)^2} = 25.7 <em>m/s</em>

V(3)= \sqrt{(16.6)^2 + (9.81 \cdot 3)^2}= 33.79 <em>m/s</em>

We can see that the football's speed increases as time passes... at least until it hits something along the way.

<h3>Learn more</h3>

Here you can find more problems on kinematics:

  • brainly.com/question/4199690
  • brainly.com/question/4464560
  • brainly.com/question/659054
  • brainly.com/question/1597396
<h3>Keywords</h3>

Kinematics, velocity, speed, gravity, free fall.

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Answer:

N_{electrons}=Q_{transfered}/q_{electron}=5.94*10^{18}electrons

Explanation:

The total charge is distributed over the two objects:

Q_{total}/2=(3.8*10^{-6}C+1.9C)/2=0.9500019C\\

The plate and the rod must have Q_{total}/2\\. So the charge transferred from the plate to the rod is:

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4 0
3 years ago
A stone is thrown vertically upwards with an initial velocity of 20m/sec. Find the maximum height ot reaches and the time taken
MAXImum [283]

Answer:

The height reached is 20m, The time taken to reach 20m is 2 seconds

Explanation:

Observing the equations of motion we can see that the following equation will be most helpful for this question.

v^{2} = u^{2} + 2as

We are given initial velocity, u

We know that the stone will stop at its maximum height, so final velocity, v

Acceleration, a

And we are looking for the displacement (height reached), s

Substitute the values we are given into the equation

0^{2} = 20^{2} + 2(10)s

Rearrange for s

0^{2} -20^{2} =20s

-400=20s

\frac{-400}{20} =s

s = -20 (The negative is just showing direction, it can be ignored for now)

The height reached is 20m

Use a different equation to find the time taken

s = vt - \frac{1}{2} at^{2}

Substitute in the values we have

-20=(0)t - \frac{1}{2} (10)t^{2}

Rearrange for t

-20 =0 -5 t^{2}

\frac{-20}{-5} =t^{2}

4 = t^{2}

t = 2s

The time taken to reach 20m is 2 seconds

4 0
3 years ago
1-A car moves toward east 12km is represented as A and it turns towards south 16km is represented as B. What is the resultant ve
hjlf

1. A-20 km south east

The car's displacement consists of two components into two different directions. Using a system of coordinates in which x represents the east direction and y represents the south direction, the two displacements are:

d_x = 12 km east

d_y = 16 km south

Since the two components are orthogonal to each other, we can find the resultant displacement by using Pythagorean's theorem:

d=\sqrt{d_x^2+d_y^2}=\sqrt{(12 km)^2+(16 km)^2}=\sqrt{400}=20 km

and the direction is between the two original directions, so south-east.

2. D. 10 m/s

First of all, we need to calculate the total time the stone took to hit the ground. Since the vertical distance covered is S = 78.4 m, and since the motion is an accelerated motion with constant acceleration g=9.8 m/s^2, we have

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From which we find the total time of the fall, t:

t=\sqrt{\frac{2S}{g}}=\sqrt{\frac{2(78.4 m)}{9.8 m/s^2}}=4 s

Now we can consider the horizontal motion of the stone: we know that the stone travels for d = 40 m in a time of t = 4 s, therefore the horizontal velocity of the stone is

v=\frac{d}{t}=\frac{40 m}{4 s}=10 m/s

3. B=32.32 m

As in the previous problem, we have to calculate the total time it takes for the stone to reach the river first. Since the vertical distance covered is S = 20 m, we have

t=\sqrt{\frac{2S}{g}}=\sqrt{\frac{2(20 m)}{9.8 m/s^2}}=2.0 s

And since the stone is traveling horizontally at v = 16 m/s, the horizontal distance covered is

d=vt=(16 m/s)(2 s)=32 m

So, the closest answer is B.

5 0
3 years ago
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