Question

An equation for the motion of an object is given as 2vt-4x=Bt^2 where B is a constant. The variable v indicates velocity, in meters per second; t indicates time, in seconds; and x indicates displacement, in meters. What is the unit of measure for B.?

Answer 1

Answer:

acceleration m/s²

Explanation:

The units on the left side of the equation are units of length. The units on the right side of the equation must be units of length also. Acceleration times time squared gives length.

Answer 2

Answer:

unit of B must be m/s/s

Explanation:

when two or more physical quantities added or subtracted then the unit of each part must be same

so here we have

$2vt - 4 x = B t^2$

so we can say that SI unit of each term must be equal to other term here

so for the first term

$2 v t = (\frac{m}{s})(s) = meter$

for next term we have

$4 x = meter$

so last term must have same unit

$B t^2 = meter = B( sec^2)$

so unit of B must be m/s/s