Question

In: Physics

A soccer player kicks the ball toward a goal that is 27.6 m in front of...

A soccer player kicks the ball toward a goal that is 27.6 m in front of him. The ball leaves his foot at a speed of 18.5 m/s and an angle of 31.2° above the ground. Find the speed of the ball when the goalie catches it in front of the net. (Note: The answer is not 18.5 m/s.)

I keep getting a final velocity of 13.92797m/s but its incorrect. Please show your work so I can see what I'm doing wrong.

Expert Solution

Initial velocity of the ball,

Initial vertical velocity,

Initial horizontal velocity,

Distance to goal,

===================

First, find the time of flight

Consider the horizontal motion of the ball

There is no acceleration in the horizontal direction, so horizontal velocity remains a constant

Horizontal velocity = Horizontal Distance/Time of flight

============================

Consider the vertical motion of the ball

Use formula

Initially, the ball is going up and g is acting downwards, so put a negative sign for g

Note: Negative sign just indicates that the ball is falling

====================

Consider the horizontal motion of the ball

There is no acceleration in the horizontal direction, so horizontal velocity remains a constant

------

Final velocity,

ANSWER :

============================

genius_generous answered 2 years ago

A soccer player kicks the ball toward a goal that is 25.0 m in front of...

A soccer player kicks the ball toward a goal that is 25.0 m in front of him. The ball leaves his foot at a speed of 17.0 m/s and an angle of 36.0 ° above the ground. Find the speed of the ball when the goalie catches it in front of the net.

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...

A soccer player kicks a ball at an angle of 36◦ from the direct horizontal with...

A soccer player kicks a ball at an angle of 36◦ from the direct horizontal with an initial speed of 15.5 m/s. Assuming that the ball moves in a two-dimensional plane, find its maximum height and its velocity when it strikes the ground.

1. A soccer player will kick a ball 80 times during practice. Assume that the kicks...

1. A soccer player will kick a ball 80 times during practice. Assume that the kicks are independent of each other, and the probability that he scores is 0.6 (60% chance that the ball goes into the goalpost and 40% chance that the ball does not go into the goalpost). Let X be the number of successful goals (number of scores) out of the 80 kicks. (a) What is the distribution of X? (b) Write the pmf f(x) and name...

A soccer player kicks a lock horizontally of a 46 m high cliff into a pool...

A soccer player kicks a lock horizontally of a 46 m high cliff into a pool of water. If the player hears the sound of the splash 3.26 s later, (a)what was the initial speed given to the rock in m/s?assume a speed of sound in air is 343 m/s. (b)What if the temperature near the cliff suddenly falls to 0ﾟ C reducing the speed of sound of 331 m/s, what would the initial speed of the rock have to...

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...

Activity 1: How far can a soccer player kick a soccer ball down field? Through the...

Activity 1: How far can a soccer player kick a soccer ball down field? Through the application of a linear function and a quadratic function and ignoring wind and air resistance one can describe the path of a soccer ball. These functions depend on two elements that are within the control of the player: velocity of the kick (v k ) and angle of the kick (?). A skilled high school soccer player can kick a soccer ball at speeds...

Bob is a soccer player who has just scored the winning goal in the game. Bob,...

Bob is a soccer player who has just scored the winning goal in the game. Bob, who is also an observant physics student, noticed that when he received the pass, the soccer ball was moving 4.8 m/s 8° N of E and that after he kicked the ball it was moving at 25 m/s 41° E of S. What is the ball's change in velocity?

A 60 kg soccer player jumps vertically upwards and heads the 0.45 kg ball as it...

A 60 kg soccer player jumps vertically upwards and heads the 0.45 kg ball as it is descending vertically with a speed of 27 m/s. If the player was moving upward with a speed of 4.0 m/s just before impact, what will be the speed of the ball immediately after the collision if the ball rebounds vertically upwards and the collision is elastic? ______m/s If the ball is in contact with the player's head for 20 ms, what is the...