Answer:
(1) and (3)
Explanation:
Speed has dimensions of:
m/s (meters per second)
While:
a (acceleration) has dimensions of [tex]m/s^2[/tex]
t (time) has dimensions of [tex]s[/tex]
Let's analyze each option:
(1)at
[tex](m/s^2) \cdot (s) = m/s[/tex] --> this has dimensions of speed
(2)at^2
[tex](m/s^2) \cdot (s)^2 = m[/tex] --> this has dimensions of distance
(3) (2ax)^(1/2)
[tex]\sqrt{(m/s^2)\cdot (m)}=m/s[/tex] --> this has dimensions of speed
(4) ((2x)/a)^(1/2)
[tex]\sqrt{\frac{m}{m/s^2}}=s[/tex] --> this has dimensions of time
So choices (1) and (3) are correct.
