Total distance travelled within T^{th} second is calculated in a certain way. It is done via,

Distance travelled in T seconds- Distance travelled in (T- 1) seconds

In equational form, the same is depicted as,

S_{T}– Se _{(T-1)}

Suppose the value of S_{0 }is 0.

As per equation (1.7),

St = v_{0} t + at^{2}

ST =V_{0} T + At^{2}

S _{(T-1)} = V_{0} (T-1) +a (T-1)^{2}

ST –S _{(T-1)}

=[v_{0} T+ a (T)^{2}] – [ v_{0}(T-1) + a (T-1)^{2}]

=v_{0} T+a T^{2} – v0T-1 +At -a

= v_{0} + a (2T -1)

= S _{Tth} = v_{0} +a (2T -1)

**Links of Previous Main Topic:-**

- Introduction about distributed forces
- Area moments of inertia in rectangular and polar coordinates
- Mass moment of inertia introduction
- Work done by force
- Kinematics of particles
- Plane motion

**Links of Next Mechanical Engineering Topics:-**