| Instantaneous position of a particle is given by |
| \[x={{t}^{3}}-12{{t}^{2}}+36t\] |
| Motion of the particle for first 8 s is best illustrated by |
A)
B)
C)
D)
Correct Answer: A
Solution :
| \[v=3{{t}^{2}}-24t+36\] |
| \[=3({{t}^{2}}-8t+12)\] |
| \[=3\,({{t}^{2}}-6t-2t+12)\] |
| \[=3\,(t-6)(t-2)\] |
| \[v=0\]at \[t=6s\] and \[t=2s\] |
| At \[t=2s,x=32\]and at \[t=6s,x=0\] |
| At \[t=8s,x=32.\] |
You need to login to perform this action.
You will be redirected in
3 sec
