Equations of Motion in a Straight Line
Asked by Anushka Agarwal · 2 years ago
What are the three equations of motion in a straight line, and how can they be derived?
1 Answer
The three equations of motion in a straight line are:
1. v = u + at
This equation relates the final velocity (v) to the initial velocity (u), acceleration (a), and time (t).
2. s = ut + 1/2 at^2
This equation gives the displacement (s) of an object as a function of its initial velocity, acceleration, and time.
3. v^2 = u^2 + 2as
This equation relates the final velocity to the initial velocity, acceleration, and displacement.
Derivations:
1. Starting from the definition of acceleration: a = (v - u)/t, rearrange to get: v = u + at.
2. From the first equation, substitute v into the formula for displacement: s = ut + 1/2 at^2.
3. Combine the first two equations to eliminate time and derive: v^2 = u^2 + 2as.
These equations are essential for solving various problems related to motion in a straight line and are derived under the assumption of constant acceleration.
1. v = u + at
This equation relates the final velocity (v) to the initial velocity (u), acceleration (a), and time (t).
2. s = ut + 1/2 at^2
This equation gives the displacement (s) of an object as a function of its initial velocity, acceleration, and time.
3. v^2 = u^2 + 2as
This equation relates the final velocity to the initial velocity, acceleration, and displacement.
Derivations:
1. Starting from the definition of acceleration: a = (v - u)/t, rearrange to get: v = u + at.
2. From the first equation, substitute v into the formula for displacement: s = ut + 1/2 at^2.
3. Combine the first two equations to eliminate time and derive: v^2 = u^2 + 2as.
These equations are essential for solving various problems related to motion in a straight line and are derived under the assumption of constant acceleration.
NEET Faculty · 2 years ago
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