Calculas is interesting
Classical Mechanics
Level
1
Velocities of two particles are defined as v=(t+1)(t+1)(t+1) and v= 3t(t+2). At what time the both of them will attain the same acceleration?
The answer is 1.
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1 solution
To find the time when the accelerations are equal, set them equal to one another. d t d ( t + 1 ) 3 = d t d 3 t ( t + 2 ) Evaluate to get t 2 = 1 If time starts at 0 and goes positive, then the only valid solution is t = 1