Use the equation for motion to answer the question.

x=x0+v0t+12at2
An object has a starting position of 2 m, a starting velocity of 15 m/s, and is moving at a constant speed. Which option shows the final position of the object after 1 s?

1 answer

If the object is moving at a constant speed, it means that the acceleration \( a \) is 0 m/s². In this case, the equation reduces to:

\[ x = x_0 + v_0 t \]

Where:

  • \( x_0 = 2 \) m (starting position)
  • \( v_0 = 15 \) m/s (starting velocity)
  • \( t = 1 \) s (time)

Substituting the values into the equation:

\[ x = 2 , \text{m} + (15 , \text{m/s} \times 1 , \text{s}) \]

\[ x = 2 , \text{m} + 15 , \text{m} \]

\[ x = 17 , \text{m} \]

Therefore, the final position of the object after 1 second is 17 meters.