A salamander of the genus Hydromantes captures prey by launching its tongue as a

Question

A salamander of the genus Hydromantes captures prey by launching its tongue as a projectile: The skeletal part of the tongue is shot forward, unfolding the rest of the tongue, until the outer portion lands on the prey, sticking to it. The figure shows the acceleration magnitude a versus time t for the acceleration phase of the launch in a typical situation. The indicated accelerations are a2 = 405m/s2 and a1 = 130m/s2. What is the outward speed of the tongue at the end of the acceleration phase? IT shows a graph in which it is at 0 from 0 to 10 then goes up to a1 from 10 ro 20 then to a2 from 20 to 30 and then back down to 0 from 30 to 40 and this is an acceleration over time graph and time is in ms

Explanation / Answer

v=u+at

for 1st phase

v=0*10 = 0

for 2nd phase

v=area of graph= 10m *130 = 1.3 m/s

for third phase

v-1.3=at=area of graph =0.5(a1+a2)*10m =>

v= 3.975 m/s

for fourth phase

v-3.975=-at=-area of graph = -405*10m =>

v= -0.075 m/s

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