Kinematics under constant acceleration: identify the correct linear motion equations Assume one-dimensional motion with constant acceleration. Select the option that lists valid equations relating u, v, a, s, and t.

Given data

• Motion in a straight line with constant acceleration a.
• u = initial speed, v = final speed, s = displacement, t = time.

Concept/Approach

• Integrate a = dv/dt and use average velocity to obtain the standard kinematic relations.

Key formulas (all valid)
v = u + a ts = u t + (1/2) a t^2v^2 = u^2 + 2 a s

Common pitfalls

• These hold only when acceleration is constant; they do not apply for variable a(t).

Final Answer
All of these