addition and subtraction of vectors

In a soccer match, the goal keeper stands on the midpoint of her goal line. she kicks the ball 25m at an angle of 35deg to the goal line. her teammate takes the pass and kicks it 40m farther, parallel to the sideline.

The resultant vector is 62.2m

if the field is 110m long, how far must the next player kick the ball to take a good shot at the center of the goal, and in approximately which direction?

(I tried the above question but i get 132 or 134! please help me and let me know if this is the correct answer and if incorrect please help)

  1. 👍
  2. 👎
  3. 👁
  1. I see it as

    (25cos35°,25sin35°) + (0,40) + (acosØ,asinØ) = (0,110)
    where a is the magnitude of the last kick and Ø is its direction.

    simplifying we get
    acosØ = -25cos35° = -20.4788 and
    asinØ = 110 - 25sin35° - 40 = 55.66
    so we can do
    asinØ/acosØ = 55.66/-20.4788
    tanØ = -2.71796
    Ø = 110.1997° (I picked the quadrant II angle from my diagram)
    then asin110.1997° = 55.662
    a = 59.3

    I did not get your answer, but I am sure of my method, perhaps I made a calculation error.
    but
    (25cos35,25sin35) + (0,40) + (59.3cos110.2,59.3sin110.2) = (0,110)

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physical Education

    1. You have now learned that a good goalkeeper must quickness, agility, and good eyesight. What other athlete requires the same skill set for success? a) Quarterback*** b) Golfer c) Bowler d) Shot putter 2. You should now have a

  2. Physics

    Suppose a soccer player kicks the ball from a distance 31 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be 44° above the horizontal.

  3. PE -- Connexus

    Wanda is playing center for her floor hockey team and sees that her right wing teammate has control of the ball. In oder to best have her body position to score from a pass sent by her right win, Wanda should position her body a.

  4. Health

    1). Which three kinds of direct pressure do you experience most often? A: Persuasion, explanations, and put-downs are the three kinds of direct pressure I experience most often. 2). Which three kinds of indirect pressure do you

  1. sine rule

    2 goal posts are 8m apart. A footballer is 34m from 1 post and 38m from the other, with what angle must he kick the ball if he has to score a goal.

  2. Physics

    Suppose a soccer player kicks the ball from a distance 30 m toward the goal. Find the initial speed of the ball if it just passes over the goal, 2.4 m above the ground, given the initial direction to be above the horizontal.

  3. Physical Education

    1. You have now learned that a good goalkeeper must quickness, agility, and good eyesight. What other athlete requires the same skill set for success? a) Quarterback*** b) Golfer c) Bowler d) Shot putter 2. You should now have a

  4. math problem grade 8!!

    A soccer goalie has saved 14 shots and let in 1 goal. Explain Please!!!

  1. Trig

    A soccer goal is 24 feet wide. Point A is 40 feet in front of the center of the goal. Point B is 40 feet in front of the right goal post. Which angle is larger A or B? How much larger?

  2. Math

    The Romascos hope to have $2,000 in 3 years for a down payment on a new pool. They invest $1,000 in an account that pays 8% interest at the end of each year. Will they have enough money at the end of 3 years to meet their goal of

  3. Health

    I plan to practice my tennis drills every day all summer so that I can maintain my #1 seed on the tennis team this year. This is an example of a? 1- performance goal 2- outcome goal my answer is performance goal

  4. Math

    Your school’s marching band is performing at halftime during a football game. In the last formation, the band members form a circle 100 feet wide in the center of the field. You start at a point on the circle 100 feet from the

You can view more similar questions or ask a new question.