In a two dimensional motion of a body, prove that tangentiol acceleration is nothing but component of acceleration along velocity.

Explanation

To prove that tangential acceleration is nothing but the component of acceleration along the velocity in a two-dimensional motion of a body, we can follow these steps:

### Step 1: Understand the Definitions
- **Tangential Acceleration (a_t)**: This is the rate of change of the speed of the body along its path of motion.
- **Acceleration (a)**: This is the vector quantity that describes the rate of change of velocity of an object.

### Step 2: Represent Velocity and Acceleration
- Let’s denote the velocity vector as **v** and the acceleration vector as **a**.
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