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A particle moving in a straight line with a constant acceleration covers 10m in 2 seconds and 22m in a further 2 seconds. How much further does it travel in the next two seconds?

Sagot :

The particle will travel  a distance of 28 m in the next two seconds

Acceleration

Acceleration is defined as the change in velocity with time

  • Acceleration = final velocity - initial velocity / time

Calculating initial velocity

distance covered = 10 m

time = 2 seconds

velocity = distance/time

initial velocity = 10/2

initial velocity = 5m/s

Calculating final velocity

distance = 22 m

time = 2 seconds

Final velocity = 22/2

Final velocity = 11 m/s

Calculating acceleration

Acceleration = change in velocity/time

acceleration = 11m/s - 5m/s /2 s

acceleration = 3m/s²

Calculating distance covered

Using the equation of motion:

s = ut + at²/2

s = 11 * 2 + 3 * 2²/2

s -=28 m

Therefore, the particle will travel  a distance of 28 m in the next two seconds

Learn more about distance and acceleration at: https://brainly.com/question/16847527