Question

what are called the equations of uniform accelerated motion? state the equations

Answer 1

what are called the equations of uniformly accelerated motion? state the equations

Results in English

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हिन्दी में नतीजे

The relation between velocity and time is a simple one during uniformly accelerated, straight-line motion. The longer the acceleration, the greater the change in velocity. ... This is the first equation ofmotion. It's written like a polynomial — a constant term (v0) followed by a first order term (at).

Answer 2

First Equation Of Motion


Let an object is moving with uniform acceleration
u = initial velocity of the object
v = final velocity of object
a = uniform acceleration
Let object reach point B after time (t) Now, from the graph
Slope= Acceleration(a)=  changeinvelocitytime
Change in velocity = AB= v⃗ −u⃗ 
Time = AD = t
a =  v⃗ −u⃗ t
Solving this we get the first equation of motion:
v⃗ =u⃗ +a⃗ t

Second Equation Of Motion


Consider an object starting with an initial velocity u and moving with uniform acceleration a. Distance covered by the object at the given time t is given by the area of the trapezium ABDOE. Let in the given time ‘t’, the displacement covered by the moving object  ‘s’ is given by the area of trapezium, ABDOE
Displacement (s) = Area of ABD + Area of ADOE
12 × AB× AD+ AE ×OE, AB= dc= at
= 12 at× t+ ut
Hence, the second equation of motion is:
s⃗ =u⃗ t+12a⃗ t²

Velocity time graph of a uniformly accelerated motion


The velocity-time graph of a uniformly accelerated motion is a straight line graph inclining towards the time axis. If the object has positive constant acceleration, the graph slopes upward. In case the object has negative constant acceleration, the velocity-time graph will slope downward.