To find the equation that describes the motion of the object, we can use the formula:
Given:
- Starting position
- Starting speed
- Acceleration
Substituting these values into the equation:
This simplifies to:
Now,
Looking at the response options:
- x = 1.5 + 10t (Incorrect, doesn't match)
- x = 10t + 1.5t^2 (Correct, matches the derived equation)
- x = 3 + 5t^2 (Incorrect, doesn't match)
The correct response is:
x = 10t + 1.5t^2