- #1

annamal

- 387

- 33

Multiplying dt on both sides and integrating we have

##\int_{x_f}^{x_i} dx = \int_{0}^{v_i t} dx_i + \int_{0}^{at} dvt##

so ##x_f - x_i = v_it + at^2##, which is not right

Where did I go wrong?

I understand that if we substitute a for ##\frac{d^2x}{dt^2}##, integrating atdt = 0.5at, but what if we derived the equation for displacement by multiplying by dt?