Lolliguncula brevis squid use a form of jet propulsion to swim -- they eject water out of jets that can point in different directions, allowing them to change direction quickly. When swimming at a speed of 0.15 m/s or greater, they can accelerate at 1.2 m/s^2. Required:
a. Determine the time interval needed for a squid to increase its speed from 0.15m/s to 0.45m/s
b. What other questions can you answer using the data?

a) the required time interval is 0.25 s

b) the distance traveled while accelerating is 0.075 m

Explanation:

Given that;

Initial speed of the squid u = 0.15 m/s

final speed of the squid v = 0.45 m/s

acceleration a = 1.2 m/s²

Time period T = ?

using equation of motion

v = u + at

solve for t

at = v - u

t = v - u / a

we substitute

t = ( 0.45 - 0.15 ) / 1.2

t = 0.3 / 1.2

t = 0.25 s

Therefore, the required time interval is 0.25 s

b)

the other possible question is;  Determine the distance the squid has traveled while accelerating.

using the following expression

v² = u² + 2as

we solve for distance s

2as = v²- u²

s = v²- u² / 2a

we substitute

s = ((0.45)²- 0.15)²) / 2×1.2

s = (0.2025 - 0.0225) / 2.4

s = 0.18 / 2.4

s = 0.075 m

Therefore,  the distance traveled while accelerating is 0.075 m

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