Calculate velocity from position and time

Question

Kelly Harmison 2018-2-28

1
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/385326-calculate-velocity-from-position-and-time

编辑： alper yeldan 2023-9-14

采纳的回答： KSSV

I have to write a program to calculate the velocity given position and time in two arrays.

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Answer 1

KSSV 2018-2-28

2
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https://ww2.mathworks.cn/matlabcentral/answers/385326-calculate-velocity-from-position-and-time#answer_307541

在 MATLAB Online 中打开

pos = rand(100,1) ;
t = 1:100 ;
v = zeros(length(t)-1,1) ;
for i = 1:length(t)-1
    v(i) = (pos(i+1)-pos(i))/(t(i+1)-t(i)) ;
end

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Kelly Harmison 2018-3-1

Thanks! I wrote a similar code but I was saving the loop values in v instead of v(i) This was very helpful!

alper yeldan 2023-9-14

编辑：alper yeldan 2023-9-14

在 MATLAB Online 中打开

There is a way to solve it withouth for loop which gives the same solution.

vel = diff(pos)./diff(t);

You can compare them

pos = rand(100,1) ;
t = 1:100 ;
v = zeros(length(t)-1,1) ;
for i = 1:length(t)-1
    v(i) = (pos(i+1)-pos(i))/(t(i+1)-t(i)) ;
end
vel = diff(pos)./diff(t);
figure;
hold on;
plot(t(1:end-1),v,'--r+');
plot(t(1:end-1),vel,'bo');

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Answer 2

Arms Diether Reyes 2021-9-6

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/385326-calculate-velocity-from-position-and-time#answer_781504

The driver of a car wishes to pass a truck that is traveling at a constant speed of 20.0 m/s. Initially, the car is also traveling at 20.0m/s and its front bumper is 24.0 m behind the truck’s rear bumper. The car accelerates at a constant 0.0600 m/s^2, then pulls back into the truck’s lane when the rear of the car is 26.0 m ahead of the front of the truck. The car is 4.5 m long and the truck is 21.0 m long. (a) How much time is required for the car to pass the truck? (b) What distance does the car travel during this time? (c) What is the final speed of the car?