Question

If x = at + bt2 where x is in meters and t is in seconds. What are the units of a and b?​

Answer 1

Answer:

here's your answer.....

Explanation:

The unit of a and b are m/s and m/s².

Explanation:

Given that,

x = at+bt^2x=at+bt

2

....(I)

Here, x = meters

t = seconds

From equation (I)

x = atx=at

a=\dfrac{x}{t}a=

t

x

The dimension of x = L

The dimension of t = T

The dimension formula of a is

a=\dfrac{[L]}{[T]}a=

[T]

[L]

a=[LT^{-1}]a=[LT

−1

]

The unit of a is m/s.

Again, from equation (I)

x= bt^2x=bt

2

b= \dfrac{x}{t^2}b=

t

2

x

The dimension formula of b is

b=\dfrac{L}{T^2}b=

T

2

L

b=[LT^{-2}]b=[LT

−2

]

The unit of b is m/s^2m/s

2

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

Answer 2

Answer:

Explanation:

x=at

a=x/t

 =L/T

 =L^1T^-1

⇒=m/s

X=bt^2

b  =x/t^2

  = m/s^2