Question: The distance travelled s (in metre) by a particle in t second is given by $s = t^{3} + 2t^{2} + t$...

Question

The distance travelled s (in metre) by a particle in t second is given by $s = t^{3} + 2t^{2} + t$ . The speed of the particle after 1 sec. will be

Answer 1

$s = t^{3} + 2t^{2} + t$ , $v = \frac{ds}{dt} = 3t^{2} + 4t + 1$

Speed of the particle after 1 second

$v_{(t = 1)} = \left( \frac{ds}{dt} \right)_{(t = 1)} = 3 \times 1^{2} + 4 \times 1 + 1 = 8cm/sec.$

Question: The distance travelled s (in metre) by a particle in t second is given by \(s = t^{3} + 2t^{2} + t\)...