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 October 1st, 2017, 04:35 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, 05:31 PM   #2
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 “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.”
using the kinematics equation, $\Delta x = v_0 \cdot t + \dfrac{1}{2}at^2$

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, 07:38 AM   #3
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Quote:
 Originally Posted by Spacetrum 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.
Just for the record, you're only able to calculate acceleration here because you have three points which describe points in a trajectory (displacement and time). That allows you to get two average velocities over the two intervals between points 1 to 2 and 2 to 3. Consequently, the average change in velocity can be determined and therefore the average acceleration over the whole interval.

If you only had two data points for the trajectory, you wouldn't be able to estimate the acceleration. Tags acceleration, distance, finding, mechanics, time Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post wirewolf Calculus 2 October 9th, 2016 11:10 AM gauravkoolyadav Elementary Math 4 May 18th, 2015 03:05 AM saha Elementary Math 7 October 18th, 2014 02:32 PM DPXJube Physics 1 January 28th, 2012 08:32 PM Sefrez Physics 1 March 18th, 2010 06:41 PM

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