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 point)
Responses

32 m
32 m

17 m
17 m

60 m
60 m

30 m

1 answer

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

\[ x = x_0 + v_0 t + \frac{1}{2} a t^2 \]

Given:

  • Starting position, \( x_0 = 2 \) m
  • Starting velocity, \( v_0 = 15 \) m/s
  • The object is moving at a constant speed, which means the acceleration \( a = 0 \) m/s².
  • Time, \( t = 1 \) s

Substituting the values into the equation:

\[ x = 2 , \text{m} + (15 , \text{m/s})(1 , \text{s}) + \frac{1}{2} (0 , \text{m/s}^2)(1 , \text{s})^2 \]

Since the acceleration term is zero, it simplifies to:

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

Thus, the final position of the object after 1 second is 17 m.

So the correct response is:

17 m