1.

The displacement (in metre) of a particle moving along x-axis is given by = 18 + 5 2 . Calculate: Instantaneous acceleration.

Answer»

using diffrentiation method
x = 18t + 5t2
dx / dt = 18 + 10t
v = 18 + 10t 
t = 2 sec
v = 18 + 10 * 2 
= 18 + 20 
= 38 m / sec
t = 3 sec
v = 18 + 10 * 3
= 18 + 20
= 48 m / s
v(av) = 38 + 48/ 2 
= 43 m/swc
dv / dt = 10
a = 10 m/ s



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