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An object starting from rest Travels 120 m in first 2 sec and 260m in next 4 seconds. find its velocity in 6 seconds after start?
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An object starting from rest Travels 120 m in first 2 sec and 260m in ...
Calculating velocity of an object



  • Step 1: Calculate the acceleration of the object during the first 2 seconds using the formula:
    acceleration = (change in velocity) / (time taken)

  • Step 2: Use the acceleration calculated in step 1 and the time taken in step 1 to calculate the velocity of the object after 2 seconds using the formula:
    final velocity = initial velocity + (acceleration x time taken)

  • Step 3: Calculate the acceleration of the object during the next 4 seconds using the formula:
    acceleration = (change in velocity) / (time taken)

  • Step 4: Use the acceleration calculated in step 3 and the time taken in step 3 to calculate the velocity of the object after 6 seconds using the formula:
    final velocity = initial velocity + (acceleration x time taken)



Using the given information:


  • Distance travelled in the first 2 seconds = 120 m

  • Distance travelled in the next 4 seconds = 260 m

  • Initial velocity = 0 m/s

  • Time taken to travel first 2 seconds = 2 s

  • Time taken to travel next 4 seconds = 4 s



Calculating acceleration during the first 2 seconds:


  • Acceleration = (Change in velocity) / (Time taken)

  • Acceleration = (Final velocity - Initial velocity) / (Time taken)

  • Acceleration = (120 m/s - 0 m/s) / (2 s)

  • Acceleration = 60 m/s^2



Calculating velocity after 2 seconds:


  • Final velocity = Initial velocity + (Acceleration x Time taken)

  • Final velocity = 0 m/s + (60 m/s^2 x 2 s)

  • Final velocity = 120 m/s



Calculating acceleration during the next 4 seconds:


  • Acceleration = (Change in velocity) / (Time taken)

  • Acceleration = (Final velocity - Initial velocity) / (Time taken)

  • Acceleration = (260 m - 120 m) / (4 s)

  • Acceleration = 35 m/s^2



Calculating velocity after 6 seconds:


  • Final velocity = Initial velocity + (Acceleration x Time taken)

  • Final velocity = 0 m/s + (35 m/s^2 x 6 s)

  • Final velocity = 210 m/s



Therefore, the velocity of the object after 6 seconds is 210 m/s.
Community Answer
An object starting from rest Travels 120 m in first 2 sec and 260m in ...
U=0. s1 = 20m, s2= 160m. t1=2sec. , t2=4sec. s= 20+160=180m. t=2+4=6sec. Using formula, s=ut+1/2at2. 180=0*6+1/2*a*6 square. 180=18 a. a=180/18. =10m/s2. t=7sec. v=u+at. =0+10*7. =70m/s.
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An object starting from rest Travels 120 m in first 2 sec and 260m in next 4 seconds. find its velocity in 6 seconds after start?
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