x = displacement
v0 = initial velocity
a = acceleration
t = time
The displacement calculator finds the displacement (distance traveled) by an object using its initial velocity, acceleration, and time traveled. The equation used is x = v0t + ½at2; it is manipulated below to show how to solve for each individual variable.
Solving for the different variables we can use the following formulas:
Displacement Problem 1: A car traveling at 25 m/s begins accelerating at 3 m/s2 for 4 seconds. How far does the car travel in the 4 seconds?
The three variables needed for distance are given as Vo (25 m/s), A(3 m/s2), and T(4 sec).
x = v0t + ½at2. X=25 (m/s)*4 (sec) + ½*3 (m/s2)*(4 (sec))2= 124 meters
Displacement Problem 2: It takes a plane, with an initial speed of 20 m/s, 8 seconds to reach the end of the runway. If the plane accelerates at 10 m/s2, how long is the runway?
x = v0t + ½at2. X= 20 (m/s)*8(sec)+ ½*10(m/s2) *(8(sec))2 = 600 meters
Cite this content, page or calculator as:
Furey, Edward "Displacement as a function of Velocity, Acceleration and Time" From http://www.CalculatorSoup.com - Online Calculator Resource.