What are the equation of motion?

1 Answer
Nathan L.
Jun 6, 2017

#v_x = v_(0x) + a_xt#

#x = x_0 + v_(0x)t + 1/2a_xt^2#

#(v_x)^2 = (v_(0x))^2 + 2a_x(x-x_0)#

#x = x_0 + ((v_x + v_(0x))/(2))t#

Explanation:

I'll take your question to mean the equations of motion with constant acceleration.

There are four (sometimes less, depending on how you learned them) primary equations of motion with constant acceleration:

  • #v_x = v_(0x) + a_xt#

  • #x = x_0 + v_(0x)t + 1/2a_xt^2#

  • #(v_x)^2 = (v_(0x))^2 + 2a_x(x-x_0)#

  • #x = x_0 + ((v_x + v_(0x))/(2))t#

These equations you can use to solve any problem involving straight-line motion with constant acceleration, such as finding the time #t# when it reaches its maximum height, how far it is from its starting point when thrown straight up at any time, its velocity at any given time or position, etc.

If you want to know how these equations are derived, I will provide a link shortly with an explanation.

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