Average Acceleration - Calculate Magnitude & Direction

In summary, during the 2 second interval in which a bird is flying north at 5 m/s and then veers east at 5 m/s, the average acceleration is 3.53 m/s/s in magnitude and direction. This is calculated by finding the vector subtraction of V2 and V1 and dividing it by t. V1 is towards the north, V2 is towards the east, and -V1 is towards the south. V1 and V2 are at a right angle to each other, resulting in a magnitude of the change in velocity of sqrt(V1^2 + V2^2).
  • #1
TyErd
299
0
A bird is flying north at 5 m/s. The bird veers and travels at 5 m/s east. This happens over a 2 second period. what is the average acceleration (magnitude and direction) during this 2 second interval?
 
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  • #2
It is vector subtraction problem. Find (V2 - V1) and divide it by t.
 
  • #3
correct me if I am wrong but is the answer 5? I am not sure
 
  • #4
V1 is towards north, v2 is towards east. - v1 is towards south. V1 and V2 are at right angle to each other. There fore magnitude of the change in velocity is sqrt(V1^2 + V2^2)
 
  • #5
So the average acceleration is 3.53m/s/s Yes?
 
  • #6
Yes.
 

1. What is average acceleration?

Average acceleration is the rate at which an object changes its velocity over a specific period of time. It is a vector quantity, meaning it has both magnitude (speed) and direction.

2. How is average acceleration calculated?

Average acceleration can be calculated by dividing the change in velocity by the change in time. The formula for average acceleration is: a = (vf - vi) / t, where a is the average acceleration, vf is the final velocity, vi is the initial velocity, and t is the time interval.

3. Why is direction important in calculating average acceleration?

Direction is important in calculating average acceleration because it tells us the direction in which an object is changing its velocity. This is crucial in understanding the overall motion of an object.

4. What are the units of average acceleration?

The units of average acceleration are typically meters per second squared (m/s^2) in the SI system or feet per second squared (ft/s^2) in the English system.

5. How does average acceleration differ from instantaneous acceleration?

Average acceleration is calculated over a specific time interval, while instantaneous acceleration is the acceleration at a specific moment in time. Average acceleration takes into account the overall change in velocity, while instantaneous acceleration only considers the velocity at a single point.

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