Answer:
Option (3).
Explanation:
The expression for acceleration of an object is given by :
[tex]a=\dfrac{v-u}{t}[/tex]
(v-u) = the change in velocity and t is time taken
We need to write the option that has the ame dimensions as an expression yielding a value for acceleration (m/s²).
Option (1).
[tex]\dfrac{\delta v}{(\delta t)^2}=\dfrac{m/s}{s^2}=m/s^3[/tex]
Option (2),
[tex]\dfrac{(\delta v)^2}{\delta t}=\dfrac{m^2/s^2}{s^2}=m^2/s^4[/tex]
Option (3),
[tex]\dfrac{(\delta v)^2}{\delta t}=\dfrac{m/s}{s}=m/s^2[/tex]
Hence, option (3) is same as the value of acceleration.
