What does `d|vec(v)|//dt` and `|d vec(v)//dt|` represent ? Can these be equal ? Can. (a) `d|vec(v)|//dt = 0` while `|d vec(v)//dt| != 0` (b) `d|vec(v)|//dt != 0` while `|d vec(v)//dt| = 0`?

(a) What does |(dv)/(dt)| and (d|v|)/(dt) represent? (b) Can these be equal?

(a) What does |(dv)/(dt)| and (d|v|)/(dt) represent? (b) Can these be equal?

(i) What does |(dv)/(dt)| and (d|V|)/(dt) represent ? (ii) Can these be equal ? (iii) Can (d|V)/(dt)= 0 while |(dV)/(dt)ne0 ? (iv) Can (d|V|)/(dt)ne 0 while |(dv)/(dt)|=0 ?

(i) What does |(dv)/(dt)| and (d|V|)/(dt) represent ? (ii) Can these be equal ? (iii) Can (d|V)/(dt)= 0 while |(dV)/(dt)ne0 ? (iv) Can (d|V|)/(dt)ne 0 while |(dv)/(dt)|=0 ?

vec(r)=2that(i)+3tvec(2)hat(j) . Find vec(v) and vec(a) where vec(v)=(dvec(r))/(dr) , vec(a)=(dvec(v))/(dt)

The vectors vec(a) and vec(b) are not perpendicular. The vectors vec( c ) and vec(d) are such that vec(b)xx vec( c )=vec(b)xx vec(d) and vec(a).vec(d)=0 then vec(d) = ……………

Two particles of masses m_(1) and m_(2) in projectile motion have velocities vec(v)_(1) and vec(v)_(2) , respectively , at time t = 0 . They collide at time t_(0) . Their velocities become vec(v')_(1) and vec(v')_(2) at time 2 t_(0) while still moving in air. The value of |(m_(1) vec(v')_(1) + m_(2) vec(v')_(2)) - (m_(1) vec(v)_(1) + m_(2) vec(v)_(2))|

Two particles of masses m_(1) and m_(2) in projectile motion have velocities vec(v)_(1) and vec(v)_(2) , respectively , at time t = 0 . They collide at time t_(0) . Their velocities become vec(v')_(1) and vec(v')_(2) at time 2 t_(0) while still moving in air. The value of |(m_(1) vec(v')_(1) + m_(2) vec(v')_(2)) - (m_(1) vec(v)_(1) + m_(2) vec(v)_(2))|

Two particles of masses m_(1) and m_(2) in projectile motion have velocities vec(v)_(1) and vec(v)_(2) , respectively , at time t = 0 . They collide at time t_(0) . Their velocities become vec(v')_(1) and vec(v')_(2) at time 2 t_(0) while still moving in air. The value of |(m_(1) vec(v')_(1) + m_(2) vec(v')_(2)) - (m_(1) vec(v)_(1) + m_(2) vec(v)_(2))|