Question

If x = a + bt² where x is in metres t is in HOURS (hr), what will be units of a and b.
pls give answer correctly I will make that b..rainlies..t
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Answer 1

This is similar to one of the equations of motion: (e.g. motion in a horizontal plane)

∆x = u•∆t + (1/2)a•∆t² (constant acceleration)

Where ∆x - displacement (in m)

u - initial velocity (in m/s)

∆t - time interval ( in s)

a - acceleration (in m/s²)

In this case where x = a•t + b•t² :

If x is in meters (m) , then unit for a is meters per hour(m/h) and for b is maters per hour squared(m/h²).

Take it as if a represent velocity and b represent *the rate of change of a*- acceleration.

x = a•t + b•t²

x = (m/h)•(h) + (m/h²)•(h²) substitutions represent units.

x = m + m

Therefore x is in meters (m)