Question

the position vector of a particle is determined by the expression or vector is equal to 3T^2 i vector + 4T ^2j vector + 7 k what's the distance transversed in first 10 seconds is what

Answer 1

Maybe U asked Displacement. Calculating distance will be cumbersome as it is some complex parabola

r (i)= Initial position vector
r (f) = Final position vector

Since r is the finction of time.

r(i)=r(0)=7 k^   
r(f)=r(10)=3*10² i^ + 4*(10)² j^ +7 k^

Now ,
Displacement vector= r(f)-r(i)
D= |300 i^ + 400j^ +(7-7)k^ |
 


=500 

(a) is correct !!