MHT CET · Maths · Application of Derivatives
The equation of motion of the particle is \(s=a t^2+b t+c\). If the displacement after 1 second is 20 m , velocity after 2 seconds is 30 \(\mathrm{m} /\) seconds and the acceleration is \(10 \mathrm{~m} /\) seconds \(^2\), then
- A \(a+c=2 b\)
- B \(a+c=b\)
- C \(a-c=b\)
- D \(a+c=3 b\)
Answer & Solution
Correct Answer
(B) \(a+c=b\)
Step-by-step Solution
Detailed explanation
\(a_{accel} = \frac{d^2s}{dt^2} = 2a\) \(2a = 10 \Rightarrow a = 5\)
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