A tennis ball is traveling at 20 m/s west and 5 m/s up. What is the overall magnitude of the tennis ball's velocity vector?25 m/s20.6 m/s425 m/s 5 m/s20 m/s
Question
A tennis ball is traveling at 20 m/s west and 5 m/s up. What is the overall magnitude of the tennis ball's velocity vector?25 m/s20.6 m/s425 m/s 5 m/s20 m/s
Solution
The magnitude of the velocity vector can be found using the Pythagorean theorem, since the two components of the velocity (20 m/s west and 5 m/s up) are perpendicular to each other.
The Pythagorean theorem is a^2 + b^2 = c^2, where a and b are the two perpendicular components and c is the hypotenuse (in this case, the magnitude of the velocity vector).
So, we substitute the given values into the formula:
(20 m/s)^2 + (5 m/s)^2 = c^2 400 m^2/s^2 + 25 m^2/s^2 = c^2 425 m^2/s^2 = c^2
Taking the square root of both sides to solve for c gives:
c = sqrt(425 m^2/s^2) c = 20.6 m/s
So, the magnitude of the tennis ball's velocity vector is 20.6 m/s.
Similar Questions
During a tennis forehand, the angular velocity of the racquet is 20º/s just before impact with the ball. If the distance from the head of the racquet to the axis of rotation is 2m, what is the linear velocity of the head of the tennis racquet? Question 15Answera.40 m/s b.40º/s c.0.70º/s d.0.70 m/s e.Not possible to calculate
A tennis ball of mass 50g is hit against a wall. It hits the wall going right at 5 ms-1 and rebounds to the left at 4 ms-1, changing its momentum by 0.45 kg m/s left.If the ball is in contact with the wall for 0.2 s what is the average force applied by the wall on the ball (your answer is a vector)?
A ball is projected straight up with an initial velocity of 20 m/s. After 0.3 seconds its velocity will be Question 7Answera.0 m/sb.-20 m/sc.22.94 m/sd.20 m/se.17.06 m/s
A volleyball was hit into the air at a speed of 2020 miles per hour at an angle of 40°40° from the horizontal. Express this velocity in vector form. Round your answer to four decimals.
Jerome pitches a baseball of mass 0.15 kg. The ball arrives at home plate with a speed of 45 m/s and is batted straight back to Jerome with a return speed of 65 m/s. What is the magnitude of change in the ball's momentum?Select one:a.16.5 kg⋅m/sb.20 kg⋅m/sc.3 kg⋅m/sd.9.75 kg⋅m/se.6.75 kg⋅m/s
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.