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A particle moves in a straight line for ...

A particle moves in a straight line for 20 seconds with velocity 3 m/s and then moves with velocity 4 m/s for another 20 seconds and finally moves with velocity 5 m/s for next 20 seconds. What is the average velocity of the particle ?

A

3 m/s

B

4 m/s

C

5 m/s

D

zero

Text Solution

AI Generated Solution

The correct Answer is:
To find the average velocity of the particle, we need to follow these steps: ### Step 1: Calculate the distance traveled in each segment of motion. 1. **First Segment:** - Velocity (v1) = 3 m/s - Time (t1) = 20 seconds - Distance (d1) = v1 × t1 = 3 m/s × 20 s = 60 meters 2. **Second Segment:** - Velocity (v2) = 4 m/s - Time (t2) = 20 seconds - Distance (d2) = v2 × t2 = 4 m/s × 20 s = 80 meters 3. **Third Segment:** - Velocity (v3) = 5 m/s - Time (t3) = 20 seconds - Distance (d3) = v3 × t3 = 5 m/s × 20 s = 100 meters ### Step 2: Calculate the total distance traveled. Total distance (D) = d1 + d2 + d3 D = 60 m + 80 m + 100 m = 240 meters ### Step 3: Calculate the total time taken. Total time (T) = t1 + t2 + t3 T = 20 s + 20 s + 20 s = 60 seconds ### Step 4: Calculate the average velocity. Average velocity (V_avg) = Total distance / Total time V_avg = D / T = 240 m / 60 s = 4 m/s ### Final Answer: The average velocity of the particle is **4 m/s**. ---
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