Applications Of Derivatives Question 25
Question: The velocity v of a particle at any instant t moving in a straight line is given by v = s + 1 where s metre is the distance travelled in t second. What is the time taken by the particle to cover a distance of 9m-
Options:
A) 1 s
B) $ (log10)s $
C) $ 2\text{(}log10)s $
D) $ 10s $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Given velocity is $ v=s+1 $ Since, velocity $ =\frac{ds}{dt} $
$ \therefore \frac{ds}{dt}=s+1\Rightarrow \frac{ds}{s+1}=dt $ Integrate both side we get $ \log (s+1)=t $ At $ s=9m, $
$ t=\log (10) $ second
BETA
