Question

Show that the equation below is dimensionally correct. y=vo t + 1/2 a t2 . ( where a is acceleration , v is the velocity and y is the distance travelled

Answer 1

$y$ has units of m, $v_0$ has units of m/s, $t$ has units of s, and $a$ has units of m/s^2. The constant 1/2 does not have units.

Hence, the first term on the right has units of: m/s *s = m
While the second term on the right has units of: m/s^2 * s * s = m

Thus, the equation is dimensionally correct.