# Answer to Question #4410 in Mechanics | Relativity for Preet

Question #4410

The velocity of a particle is given by the equation V=4t^2+5.

(a)the average acc b/w the time interval t1=2s and t2=4sec

(b)the instatenous accerlation at t=4 sec

(a)the average acc b/w the time interval t1=2s and t2=4sec

(b)the instatenous accerlation at t=4 sec

Expert's answer

The velocity of a particle is given by the equation V=4t^2+5.

(a)the average acc b/w the time interval t1=2s and t2=4sec

V'=8t; (time derivative)

a1=8*2=16; (instatenous accerlation at t=2 sec)

a2=8*4=32; (instatenous accerlation at t=4 sec)

A=0.5(a1+a2)=(16+32)/2=24 (the average acc b/w the time interval t1=2s and t2=4sec).

(b)the instatenous accerlation at t=4 sec

V'=8t; (time derivative)

t=4; (current time)

a=8*4=32 (instatenous accerlation at t=4 sec).

(a)the average acc b/w the time interval t1=2s and t2=4sec

V'=8t; (time derivative)

a1=8*2=16; (instatenous accerlation at t=2 sec)

a2=8*4=32; (instatenous accerlation at t=4 sec)

A=0.5(a1+a2)=(16+32)/2=24 (the average acc b/w the time interval t1=2s and t2=4sec).

(b)the instatenous accerlation at t=4 sec

V'=8t; (time derivative)

t=4; (current time)

a=8*4=32 (instatenous accerlation at t=4 sec).

Need a fast expert's response?

Submit orderand get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

## Comments

## Leave a comment