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If an object has constant acceleration, the
in Physics by Diamond (75,918 points) | 31 views

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If an object has constant acceleration, the \(v_x(t)\) curve is a straight line that has a non-zero slope and the \(a_x(t)\) curve is a horizontal line.

If an object moves in the \(x\) direction with constant acceleration \(a_x\) starting at \(t = 0\), with initial velocity \(v_{x,i}\)  at initial position \(x_i\) , its x coordinate at any instant t is given by

$$x(t) = x_i+v_{x,i}t + \frac{1}{2}a_xt^2$$

The X component of its instantaneous velocity is given by

$$v_x(t)=v_{x,i}+a_xt$$

and the \(x\) component of its final velocity is given by

$$v^{2}_{x,f}=v^2_{x,i}+2a_x\Delta{x}$$
by Diamond (75,918 points)

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