Question

a bird flies with a speed v=|t-3| m/s find the distance travelled by bird between 0<=t<=5 seconds​

Answer 1

Answer:

2.5m

Explanation:

v = |t - 3|m/s

$v = \frac{dx}{dt}\\=> dx = vdt\\=>x=\int\limits^{}\,dx = \int\limits^ {t=0}_{t=5} {} \, vdt= \int\limits^ {t=0}_{t=5} {} \, |t-3|dt\\=> x=|[\frac{t^2}{2} - 3t ]|=| \frac{25}{2} - 15| = |12.5-15|=2.5m$