Velocity vs displacement graph for a body is shown in the figure.
Find the acceleration of body when it's displacement is 10m, considering 1D motion along a straight line.
A
10m/s2
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B
−10m/s2
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C
5m/s2
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D
−5m/s2
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Solution
The correct option is D−5m/s2 The relation between acceleration (a) and displacement(s) is expressed as: a=vdvds.............(i)
Hence, at any value of s the, acceleration is given by: a=v× (slope of (v−s) graph)
where, v= velocity at that position. ⇒(Slope of graph)s=10m=10−05−15=−1∵ slope of graph is -ve and constant for s=5m to s=15m
From graph vs=10m=5m/s ∴a=(vs=10m)×(Slope of graph)s=10m ⇒a=5×−1=−5m/s2