A particle moves in a straight line with an acceleration of 4 m/s². If its initial velocity is 2 m/s, what will be its velocity after 5 seconds?

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Q: A particle moves in a straight line with an acceleration of 4 m/s². If its initial velocity is 2 m/s, what will be its velocity after 5 seconds?

Solution: Using the formula: final velocity = initial velocity + acceleration * time. Final velocity = 2 + 4 * 5 = 22 m/s.

Steps: 8

Step 1: Identify the initial velocity of the particle, which is 2 m/s.
Step 2: Identify the acceleration of the particle, which is 4 m/s².
Step 3: Identify the time duration for which the particle is moving, 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 = 2 + (4 * 5).
Step 6: Calculate the acceleration multiplied by time: 4 * 5 = 20.
Step 7: Add the initial velocity to the result from Step 6: final velocity = 2 + 20.
Step 8: Calculate the final velocity: final velocity = 22 m/s.