Kinematics Formulas

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:
v=v_o+at

v²=v²_o+2a(x-x_o)

At this juncture,

x and x_o are Final and Initial displacements articulated in m,

v_o 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:

v_x = v_xo + a_xt

x = x_o + v_xot + 1212 a_xt²

vx² = v_xo + 2ax(x-x_o)

In y-direction the Kinematic formula is articulated as:

v_y = v_yo + a_yt

y = x_o + v_yot + 1212 a_yt²

v_y² = v_yo² + 2ay(y – y_o)

Kinematics Formulas for Projectile Motion

Imagine a projectile motion as presented in the figure.Thus, the kinematics formulas are:

In x-direction:

v_x = v_xo

x = x_o + v_xo

In y-direction:

v_y = v_yo – gt

y = y_o + v_yot –1212 gt²

v_y² = v_yo² – 2g(y – y_o)

Kinematics Solved Example

Problem 1: A car with initial velocity zero experiences a uniform acceleration of 7 m/s² for the time interval t= 5s. Calculate its distance covered?

Answer:

Given parameters

v_o = 0

t = 5s

a = 7 m/s²

To find the Distance covered S.

By using the Kinematic Equation

S = 0 × 5 + (0.5 × 7 × 5²)

S = 87.5 m

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