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Multiple Choice
In kinematics, which equation relates initial velocity, final velocity, acceleration, and displacement, and what is it commonly called?
A
s = ut + 0.5at^2 (Second Equation of Motion)
B
s = vt - 0.5at^2 (Incorrect Equation)
C
v = u + at (First Equation of Motion)
D
v^2 = u^2 + 2as (Equation of Motion)
Verified step by step guidance
1
Identify the variables involved in the kinematic equation: initial velocity (u), final velocity (v), acceleration (a), and displacement (s).
Understand that the equation v^2 = u^2 + 2as is one of the equations of motion used in kinematics to relate these variables.
Recognize that this equation is derived from the basic principles of motion under constant acceleration, and it does not involve time (t) directly.
This equation is particularly useful when you need to find one of the variables (v, u, a, or s) and you have the other three, without needing to know the time.
The equation v^2 = u^2 + 2as is commonly referred to as the 'Third Equation of Motion' in kinematics.