Kinematics Formula is altogether about the motion of bodies at points, devoid of considering the cause because of which it happens.
Kinematic formulas are three to be precise:
At this juncture,
x and xo are Final and Initial displacements articulated in m,
vo and v are initial and final velocity articulated in m/s,
acceleration is a and articulated in m/s2,
the time taken is t in s.
Kinematics Formulas – 2D
2 dimensional or 2D kinematics equations is all about expressing the same equations in x and y directions:
In x direction the Kinematics formulas is articulated as:
vx = vxo + axt
x = xo + vxot + 1212 axt2
vx2 = vxo + 2ax(x-xo)
In y-direction the Kinematic formula is articulated as:
vy = vyo + ayt
y = xo + vyot + 1212 ayt2
vy2 = vyo2 + 2ay(y – yo)
Kinematics Formulas for Projectile Motion
Imagine a projectile motion as presented in the figure.Thus, the kinematics formulas are:
vx = vxo
x = xo + vxo
vy = vyo – gt
y = yo + vyot – 1212 gt2
vy2 = vyo2 – 2g(y – yo)
Kinematics Solved Examples
Underneath are solved Kinematics problems which helps you in understanding the use of these equations.
Problem 1: A guy is riding a bike with an initial velocity of 2 m/s. He reaches his destiny after 3s having a final velocity of 10m/s. Compute its acceleration?
Given: Initial Velocity vo = 2 m/s
Final velocity v = 10 m/s
Time period t = 3s
To find the acceleration a
Using the formula v = vo + at
Acceleration is given as:
Problem 2: A car with initial velocity zero experiences a uniform acceleration of 7 m/s2 for the time interval t= 5s. Compute its distance covered?
Initial Velocity vo = 0,
time taken t = 5s,
Acceleration a = 7 m/s2,
To find the Distance covered S.
By using the Kinematic Equation, one can determine that,