Question

Write the dimensions of a/b in x=at +bt2

Answer 1

Answer:

The unit of a and b are m/s and m/s².

Explanation:

x = at+bt^2- 1

Here, x = meters

t = seconds

From equation (I)

x = at

a= x/t

The dimension of x = L

The dimension of  t = T

The dimension formula of a is

a=[L]/[T]

a=[LT^-1]

The unit of a is m/s.

Again, from equation (I)

x= bt^2

b= x/t^2

The dimension formula of b is

b= [L]/[T^2]

b= [LT^-2]

The unit of b is

Hence, The unit of a and b are m/s and m/s².