A particle moves in a straight line with an initial velocity of 10 m/s and accelerates at 2 m/s². What will be its velocity after 5 seconds?

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Q: A particle moves in a straight line with an initial velocity of 10 m/s and accelerates at 2 m/s². What will be its velocity after 5 seconds?

Solution: Final velocity = initial velocity + (acceleration * time) = 10 m/s + (2 m/s² * 5 s) = 20 m/s.

Steps: 8

Step 1: Identify the initial velocity of the particle, which is 10 m/s.
Step 2: Identify the acceleration of the particle, which is 2 m/s².
Step 3: Identify the time duration for which the particle accelerates, which is 5 seconds.
Step 4: Use the formula for final velocity: Final velocity = initial velocity + (acceleration * time).
Step 5: Substitute the values into the formula: Final velocity = 10 m/s + (2 m/s² * 5 s).
Step 6: Calculate the acceleration part: 2 m/s² * 5 s = 10 m/s.
Step 7: Add the initial velocity and the calculated acceleration: 10 m/s + 10 m/s = 20 m/s.
Step 8: Conclude that the final velocity after 5 seconds is 20 m/s.