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What is u in the equation s = ut + ┬╜ at 2 , which represents the position-time relation?
Speed of the object
Initial velocity
Change in momentum
Uniform acceleration
Initial velocity
In the kinematic equation s=ut+21тАЛat2, the variable u represents the initial velocity of an object at the starting time t=0. This equation describes the displacement s of an object moving with a uniform acceleration a over a time interval t.
In the kinematic equation s=ut+21тАЛat2, the variable u represents the initial velocity of an object at the starting time t=0. This equation describes the displacement s of an object moving with a uniform acceleration a over a time interval t.
If you are starting a car from a stationary position at a red light, your velocity u is 0; if you are already cruising at a steady speed before hitting the gas, that speed is your initial velocity u.
s=ut+21тАЛat2 тАФ Displacement-time relation
v=u+at тАФ Velocity-time relation
v2=u2+2as тАФ Velocity-displacement relation
This equation is derived from the definition of average velocity under constant acceleration. Since acceleration a is constant, the displacement is the integral of velocity with respect to time, where velocity v(t)=u+at. Integrating this from time 0 to t yields the displacement formula s=тИл0tтАЛ(u+at)dt=ut+21тАЛat2.
The variable u represents initial velocity measured in m/s.
The variable s represents displacement measured in m.
The variable a represents uniform acceleration measured in m/s2.
The equation is only valid when acceleration is uniform or constant.
Allows calculation of position without knowing the final velocity.
Cannot be used if acceleration changes over time (non-uniform acceleration).
Projectile motion analysis in physics problems.
Predicting the stopping distance of vehicles under braking.
SI unit of u is meters per second (m/s).
Option A is incorrect because speed is a scalar and does not define the motion state at t=0.
Option C refers to ╬Фp=m(vтИТu), which relates to impulse.
Option D represents a in the equation, not u.
B is correct тАФ In the kinematic equation of motion, u denotes the velocity of the body at the moment t=0.
Always verify units before plugging values into equations; all components must be in SI units (m,s,kg) to maintain consistency.
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