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October 1st, 2017, 03:35 PM  #1 
Newbie Joined: Oct 2017 From: England Posts: 1 Thanks: 0  Finding acceleration through distance and time?
I’ve been presented with a question in my assignment and have no idea have to solve it. “A particle is moving along a straight line with constant acceleration. It passes through points A, B and C. It takes 2 secs to travel from A to B, a distance of 14 m, and takes 3 secs to travel from B to C, a distance of 36m. Find the acceleration of the particle, and the speed as it passes through point A.” I do not know how to calculate acceleration with only speed/ velocity and distance/ displacement. 
October 1st, 2017, 04:31 PM  #2  
Math Team Joined: Jul 2011 From: Texas Posts: 2,949 Thanks: 1555  Quote:
A to B ... $\Delta x = 14 \, m$, $\Delta t = 2 \sec$ $\color{red}{7 = v_0 + a}$ A to C ... $\Delta x = 50 \, m$, $\Delta t = 5 \sec$ $\color{red}{20 = 2v_0 + 5a}$ solve the $\color{red}{system}$ of equations for $v_0$ and $a$  
October 2nd, 2017, 06:38 AM  #3  
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,156 Thanks: 731 Math Focus: Physics, mathematical modelling, numerical and computational solutions  Quote:
If you only had two data points for the trajectory, you wouldn't be able to estimate the acceleration.  

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acceleration, distance, finding, mechanics, time 
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