Relationship between u, v, a, and t for acceleration:

Acceleration is the rate of change of velocity with respect to time. It is a vector quantity and is denoted by "a". The relationship between u, v, a, and t for acceleration can be explained as follows:

Initial velocity (u): It is the velocity of an object at the beginning of a motion. It is denoted by "u".

Final velocity (v): It is the velocity of an object at the end of a motion. It is denoted by "v".

Acceleration (a): It is the rate of change of velocity with respect to time. It is denoted by "a".

Time (t): It is the duration for which the object is in motion. It is denoted by "t".

The relationship between u, v, a, and t for acceleration can be stated as follows:

v = u + at

This equation is known as the first equation of motion. It relates the final velocity of an object with its initial velocity, acceleration, and time. It states that the final velocity of an object is equal to its initial velocity plus the product of acceleration and time.

Alternatively, this equation can be rearranged to find any of the four variables:

u = v - at

a = (v - u) / t

t = (v - u) / a

This equation can be used to solve various problems related to motion and acceleration. For example, if the initial velocity, acceleration, and time are known, the final velocity can be calculated using the first equation of motion. Similarly, if the final velocity, acceleration, and time are known, the initial velocity can be calculated.

In conclusion, the relationship between u, v, a, and t for acceleration is given by the first equation of motion, which relates the final velocity of an object with its initial velocity, acceleration, and time. This equation can be rearranged to find any of the four variables and can be used to solve various problems related to motion and acceleration.

V=u+at
OR
a=v-u/t