a bird flies for 4 second with a velocity of |t-2| m/s . in a straight line . it covers a distance of

Question

Answer

Explanation of a Bird's Flight with Changing Velocity

Description of the Scenario

A bird is flying for 4 seconds in a straight line with a velocity that changes over time. The velocity is given by the absolute value of t-2, where t is the time elapsed in seconds. The task is to determine the distance covered by the bird during this time period.

Calculation of the Distance Covered

To calculate the distance covered by the bird, we need to integrate the velocity function over the time period of 4 seconds. The velocity function can be broken down into two parts:

When t is less than 2, the velocity function is given by 2-t.

When t is greater than or equal to 2, the velocity function is given by t-2.

We can integrate each part separately to get the total distance covered by the bird:

For t less than 2: The integral of 2-t over the time period of 0 to 2 is equal to 2. This means that the bird travels a distance of 2 meters during the first 2 seconds of its flight.

For t greater than or equal to 2: The integral of t-2 over the time period of 2 to 4 is equal to 0. This means that the bird does not travel any distance during the last 2 seconds of its flight.

Therefore, the total distance covered by the bird is 2 meters.

Answer

In a straight line distance =displacement.
we know velocity =displacement/time
here t=4s
v=4-2=2m/s
v=s/t
2=s/4
s=8 metres

Similar Class 11 Doubts

An object is moving in a straight line with velocity v(t)=t×t-2t ms-1. If it starts from the origin at t = 0 then find the distance of the object in t-0 to t = 3 second.?

An object is moving in a straight line with velocity v (t) =t^2-2t find the distance of object in time interval (t)=0 to (t)=3second?

two projectiles are thrown from the same point simultaneously with same velocity 10m/s .one goes straight vertically while other at 60 degree with the vertical. what will be the distance of separation between the two after 1 second of their throw

two projectiles are thrown from the same point simultaneously with same velocity 10m/s .one goes straight vertically while other at 60 degree with the vertical. what will be the distance of separation between the two after 1 second of their throw.

Top Courses for Class 11View all

Chemistry Class 11

CUET Mock Test Series

English Class 11

Chemistry Practice Tests: CUET Preparation

CUET Mock Test: Humanities Subjects 2025

Top Courses for Class 11

Top Courses for Class 11

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams