Question

In: Physics

You are kicking a soccer ball on a windy night. The acceleration of the wind in...

You are kicking a soccer ball on a windy night. The acceleration of the wind in the x direction is 2.0 m/s.

a) When the ball is kicked into the wind (de-accelerated) at the angle pi/2, and initial velocity 40 m/s, how far does the ball travel in the x direction prior to landing?

b) When the ball is kicked with the wind (accelerated), at the same angle and initial velocity, how far does the ball travel in the x direction prior to landing?

c) If the ball is kicked into the wind, and the initial velocity is still the same, what angle should it be kicked at so that the ball lands where it started?

Expert Solution

The given problem is similar to a standard projectile motion which usually have acceleration as acceleration due to gravity, conventionally taken in negative direction. In this problem additional acceleration in positive direction should be incorporated.

Let us resolve the equation of motion for axis and axis :

For axis we have three set of equation of motion

Similarly for axis we have

a) For and
and The ball is kicked into the wind so the acceleration .
To calculate time distance traveled by the ball first we need to find the time of flight. For that consider the first equation of axis. At top , so

The time of flight of ball is

So the distance traveled in direction is given by,

Therefore the ball lands behind where it was kicked.

b) Using the similar values except the ball is kicked with the wind, which makes the acceleration

Therefore the ball lands in front from where it was kicked.

c) To land the ball where it started we can consider the second equation of axis,

Put then we get

where

Therefore one should kick the ball with an angle for the ball to land there itself.

genius_generous answered 3 years ago

Now let's consider the impulse associated with kicking a soccer ball (Figure 1). The ball has...

Now let's consider the impulse associated with kicking a soccer ball (Figure 1). The ball has mass 0.40 kg . Initially it moves horizontally to the left at 20 m/s, but then it is kicked and given a velocity with magnitude 30 m/s and direction φ=45∘ upward and to the right. Find the impulse of the force and the average force on the ball, assuming a collision time Δt=0.010s. angle: 27 Part A:Suppose the ball is moving at 30 ∘...

During the movement of kicking a soccer ball, Which muscle is the prime mover? Which muscle...

During the movement of kicking a soccer ball, Which muscle is the prime mover? Which muscle is the antagonist, and which is the synergist? Describe the lobes of the cerebrum and their primary functions. Describe the meninges and their function and location.

Explain the 6 phases of kicking a soccer ball: 1. Approach Angle 2. Plant foot forces...

Explain the 6 phases of kicking a soccer ball: 1. Approach Angle 2. Plant foot forces 3. Swing Limb loading 4. Hip Flexion 5. foot to ball contact 6. Follow through Identify the phases of motion. Key factors of what happens biomechanically in each phase. - key things that should happen -the body movement in each phase. Why is it important to do the six phases kicking the soccer ball. (Power, prevent injuries, more strength)

Charlie kicks a soccer ball up a small incline. On the way up, ball’s acceleration has...

Charlie kicks a soccer ball up a small incline. On the way up, ball’s acceleration has magnitude |a| = 0.45 m/s2 and is directed in downhill direction. Charlie kicks the ball at the bottom of the incline and then immediately start to walk up the incline with constant speed. Charlie performs twi different trials. a) In the first trial, Charlie kicks the ball with initial speed v0 = 3.4 m/s. Charlie is 2.3-m behind the ball when the ball is...

Charlie kicks a soccer ball up a small incline. On the way up, ball's acceleration has...

Charlie kicks a soccer ball up a small incline. On the way up, ball's acceleration has magnitude jaj = 0:45 m/s2 and is directed in downhill direction. Charlie kicks the ball at the bottom of the incline and then immediately start to walk up the incline with constant speed. Charlie performs twi dierent trials. a) In the first trial, Charlie kicks the ball with initial speed v0 = 3:4 m/s. Charlie is 2.3-m behind the ball when the ball is...

Windy City Corp. manufactures component parts for wind turbines. The controller is building a master budget...

Windy City Corp. manufactures component parts for wind turbines. The controller is building a master budget for the first quarter of the upcoming calendar year. Selected information from the accounting records is presented next: a. Accounts Receivable as of January 1 are $59,250. Selling price per unit is projected to remain stable at $14 per unit throughout the budget period. Sales for the first five months of the upcoming year are budgeted to be as follows: January $99,400 February $119,900...

1.A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest....

1.A soccer player kicks a soccer ball of mass 0.45 kg that is initially at rest. The player's foot is in contact with the ball for 1.70 × 10-3 s, and the force of the kick is given by F(t) = [(6.56 × 105)t - (3.86 × 108)t2] N for 0≤t≤1.70×10-3s, where t is in seconds. Find the magnitudes of the following: (a) the impulse on the ball due to the kick, (b) the average force on the ball from...

1. Ball rolling down an incline :Later you will be measuring the acceleration of the rolling...

1. Ball rolling down an incline :Later you will be measuring the acceleration of the rolling ball down the incline for several different incline angles, and we want to compare with the theoretical expected value. The best way to show this is to plot the acceleration on the vertical axis, and the value of sin(θ) on the horizontal axis, as shown on the plot below. Draw in the expected theoretical variation of the acceleration on this plot. 2. A 0.200...

you throw a ball upward with a seed of 14 m/s. what is the acceleration of...

you throw a ball upward with a seed of 14 m/s. what is the acceleration of the ball after it leaves your hand. ignore air restistance and provide an explanation for your answer.

1.A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.05 in....

1.A soccer ball manufacturer wants to estimate the mean circumference of soccer balls within 0.05 in. (a) Determine the minimum sample size required to construct a 95% confidence interval for the population mean. Assume the population standard deviation is 0.20 in. (b) Repeat part (a) using a population standard deviation of 0.30 in. Which standard deviation requires a larger sample size? Explain. 2.A soccer ball manufacturer wants to estimate the mean circumference of mini-soccer balls within 0.05 inch. Assume the...