To calculate the final position of the object using the equation of motion \( x = x_0 + v_0 t + \frac{1}{2} a t^2 \), we need to identify the values for \( x_0 \), \( v_0 \), \( a \), and \( t \) based on the information given:
- \( x_0 = 2 \) m (starting position)
- \( v_0 = 15 \) m/s (starting velocity)
- \( a = 0 \) m/s² (constant speed means acceleration is zero)
- \( t = 1 \) s
Now we can plug these values into the equation:
\[ x = 2 + (15)(1) + \frac{1}{2}(0)(1^2) \]
Calculating each term:
- \( 2 \) (initial position)
- \( 15 \times 1 = 15 \) (distance traveled due to velocity)
- \( \frac{1}{2} \times 0 \times 1^2 = 0 \) (no distance traveled due to acceleration)
Now we add them together:
\[ x = 2 + 15 + 0 = 17 , \text{m} \]
Thus, the final position of the object after 1 second is 17 m.