Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

A bird is flying at a speed of 15 km/h due East. It then makes a sudden turn to the North, but continues to travel at a speed of 15 km/h. Which changed, speed or velocity, both, or neither? Explain your reasoning.

Sagot :

What has changed is the velocity. This is happen because :

  1. Velocity is a vector quantity that is easily affected by changes in the direction of motion.
  2. The presence of this displacement vector causes the resultant velocity to be 15√2 m/s.

Explanation

Hi ! Here I will discuss about velocity and speed. velocity is different from speed. Velocity depends on displacement (movement relative to the starting point) divided by the value of time. On the other hand, speed depends only on distance (how far the object is moving) regardless of the starting point of the movement. Therefore, velocity is called a vector quantity (a value that is easily influenced by direction), while speed is called a scalar quantity because it does not care about direction.

Proof

Why do I say there that the resultant velocity is 15√2 m/s ? This is because there is a double direction that makes it necessary to calculate the resultant using the formula:

[tex] \sf{\sum v = \sqrt{(v_1)^2 + (v_2)^2 + 2(v_1)(v_2) \cos(\theta)}} [/tex] >> [tex] \sf{\theta} [/tex] = 90°

[tex] \sf{\sum v = \sqrt{(15)^2 + (15)^2 + 2(15)(15) \cos(90^o)}} [/tex]

[tex] \sf{\sum v = \sqrt{225 + 225 + 2(15)(15) (0)}} [/tex]

[tex] \sf{\sum v = \sqrt{450 + 0}} [/tex]

[tex] \sf{\sum v = \sqrt{225 \times 2}} [/tex]

[tex] \sf{\sum v = 15 \sqrt{2} \: m/s} [/tex] (Q.E.D)

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.