Question

the relationship between the speed v(t) and the velocity v(t) can be given as v(t)=||v(t)||
true or False

Answer 1

There is little mistake in writing the speed and velocity in your Question.( You write both speed and velocity as same v(t)).  

Actually speed is defined as Distance/time and a scalar quantity ( have only magnitude, not direction) while velocity is vector quantity (have both magnitude as well as direction) and defined as displacement/Time. For a body in motion distance is always positive but displacement could be negative (smaller or equal to distance). Hence one can say magnitude of velocity could be less than or equal to speed.

|v(t)| (v) where v(t) represent velocity and (v) represent speed.

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