Question

J (denoted byJ) can be defined as a function of acceleration (denoted by a) and time (denoted by t) using this formula

J=a/t
acceleration is measured in m/s^2 and time is measured in s.

A= m^3/s^2
b= m^3/s^3
c=m/s^3
d=m/s^2

Answer 1

Unit of J is
`m/s^3`.

Explanation:

It is given that, J can be defined as a function of acceleration and time using this formula as :

`J=(a)/(t)`

Here, a is measured in
`m/s^2` and time is measured in s (seconds). We need to find the formula of J.

`J=(m)/(s* s^2)`

Since,
`a^n* a^m=a^(n+m)`

This gives,
`J=(m)/(s^3)`

So, the unit of J is m/s³. Hence, the correct option is (c).

Answer 2

J = m/s³ ⇒ answer c

Explanation:

* Lets explain how to solve the problem

- J (denoted byJ) can be defined as a function of acceleration

(denoted by a) and time (denoted by t) using this formula J = a/t

∵ j = a/t is a function of acceleration and time , where a is the

acceleration and t is the time

- The acceleration is measured in m/s²

- The time is measured by the second

∵ The acceleration a = m/s²

∵ The time = s

- Substitute these values of acceleration and time in the function j

∴ J = m/s² ÷ s

- Change the division sign by the multiplication sign and reciprocal

the term after the division sign

∴ J = m/s² × 1/s

- Remember that a^n × a^m = a^(n + m)

∵ s² × s = s³

∴ J = m/s³