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Motion In Straight Line

Question
CBSEENPH11017129

Position time relation of a particle is given by x = (3t + 4)m. Find the velocity of particle from the graph.

Solution

Position of a particle at any instant, x = 3t+4



The x -t graph is a straight line.
The slope of the position-time graph gives us the velocity of the particle. 
Here,  slope of the graph is,
    
space space space space space space Slope space equals space BC over AC equals 9 over 3 equals 3
space space space space space space space therefore space space straight v space equals space 3 space straight m divided by straight s


Therefore, velocity of the particle is 3 m/s.