Which one of the following conditions must be met if the expression
X = v0t + 1/2at2 is to be used?
Group of answer choices

v is constant.

a is constant.

t is constant.

Both v 0 and t are constant.

x is constant.

The expression \( X = v_0t + \frac{1}{2}at^2 \) is a kinematic equation used in physics to describe the position \( X \) of an object under uniform acceleration. 

For this equation to be valid, **the acceleration \( a \) must be constant**. This is because the equation is derived under the assumption of uniform (constant) acceleration.

So, the correct answer is:

**a is constant.**

Do you want more details or have any questions? 

Here are 5 related questions:
1. How is the equation \( X = v_0t + \frac{1}{2}at^2 \) derived?
2. What happens if the acceleration is not constant?
3. Can this equation be used when initial velocity \( v_0 \) is zero?
4. How does this equation relate to the velocity-time equation \( v = v_0 + at \)?
5. What are the other kinematic equations under constant acceleration?

**Tip:** Remember, kinematic equations are only valid under conditions of constant acceleration!

Explore the kinematic equation X = v0t + (1/2)at^2 used in physics to describe position under uniform acceleration. Discover why acceleration 'a' must be constant for this equation to be valid. Suitable for high school students studying physics.

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