Initial velocity of the particle was zero. Choose the correct options.
OPTIONS
A) Initial rate of change of acceleration is 8
B) The terminal speed is $2\text{m/s}$
C) both A and B
D) Neither A and B
I could find initial acceleration by Substituting $t=0$, with which I get $a=8\text{m/s}^2$.
If I assume terminal velocity to be the point where acceleration is $0$, then $v =2\text{m/s}$.
The right answer is only b, whereas according to my working it’s both a and b. What’s wrong here?
In a) what is asked is the rate of change of acceleration, not the acceleration itself. Rate of change of acceleration is the derivative of acceleration.