Question

Give all equations of motion:

Answer 1

                                Equations of Motion

Represented by:
v= final velocity
u= initial velocity
a= acceleration
t= time in seconds
s= distance moved

1. If a body moving with the constant acceleration:
a. v= u + at
b. s= ut + 1/2at²
c. v²= u² + 2as

2. If a body is moving with retardation:
a. v= u - at
b. s= ut - 1/2at²
c. v²= u² - 2as

3. When a body is moving towards the ground:
a. v= u + gt
b. s= ut + 1/2gt²
c. v²= u² + 2gs

4. When a body is moving vertically up from the ground:
a. v= u - gt
b. s= ut - 1/2gt²
c. v²= u² - 2gs

-Brainly

Answer 2

u----initial velocity
v---final velocity
a--- acceleration
g--acceleration due to gravity
s-- distance tralelled
t--- time taken
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the basic equations of motion are
1) v = u +at
2)s = ut + 1/2at²
3)v²= u² + 2as
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CASE 1
Body undergoing retardation:
v= u - at
s= ut - 1/2at²
v²= u² - 2as
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Case 2
body is falling freely
the gravity will be acting down wards and the body is also falling down so the gravity will  be taken as positive
v= u + gt
s= ut + 1/2gt²
v²= u² + 2gs
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CASE 3 
body thrown upwards
the gravity will be acting downwards so the value of 'g' is taken as negative
v= u - gt
s= ut - 1/2gt²
v²= u² - 2gs
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stopping distance =   u²  
                                     a
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relative motion of A with respect to B
$V_{AB} = V_{A} - V_{B}$
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relative motion of B with respect to A
$V_{BA} = V_{B} - V_{A}$
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distance traveled by the body in nth second
Sn = u + a/2  (2n-1)
 Sn -- Distance traveled in nth second
u = initial velocity
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speed = distance / time
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velocity = displacement /time
-----------------------
acceleration = velocity /time
--------------------------
centripetal acceleration = ω² r
r-- radius
------------------------------------
centripetal fore = mω²r
m-- mass
r- radius
-------------------------
where ω = v²/r for both the centripetal formulas given above
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