Question

6.
The velocity varies with time as v = ai + btj.
where a and b are positive constants. The
magnitude of instantaneous velocity and
acceleration would be​

Answer 1

Answer:

√(a^2+(bt)^2) and b respectively.

Explanation:

We know that we can find the magnitude of instantaneous velocity by taking the square root of the vector's square.

So, the instantaneous velocity will be √(a^2+(bt)^2).

Again, we know that the acceleration is the rate of change of velocity per unit time so acceleration will be differentiation of velocity with time.

So, a=dv/dt = d/dt (ai + btj) which will be 0 + bj vector.

hence, the magnitude of acceleration is b.