Use the equation for motion to answer the question.

x=x^0+v^0^t+1/2at^2
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

To find the final position of the object after 1 second, we'll use the equation of motion:

\[ x = x^0 + v^0 t + \frac{1}{2} a t^2 \]

Where:

  • \( x \) is the final position
  • \( x^0 \) is the initial position
  • \( v^0 \) is the initial velocity
  • \( a \) is the acceleration
  • \( t \) is the time

Given:

  • \( x^0 = 2 , \text{m} \)
  • \( v^0 = 15 , \text{m/s} \)
  • \( a = 0 , \text{m/s}^2 \) (since the object is moving at a constant speed)
  • \( t = 1 , \text{s} \)

Now, substitute the values into the equation:

\[ x = 2 + 15(1) + \frac{1}{2}(0)(1^2) \]

Calculating it:

\[ x = 2 + 15 + 0 \] \[ x = 17 , \text{m} \]

Therefore, the final position of the object after 1 second is \( 17 , \text{m} \).

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