Consider an omnidirectional robot with a ring of eight sonar sensors that are fired sequentially. your robot is capable of accelerating and decelerating at 50 cm/s2. it is moving in a world filled with sonar-detectable fixed obstacles. the maximum range of the sonar sensors is 5 m. given the bandwidth of your sonar sensors, compute your robot's maximum speed ensuring no collisions.

The maximum velocity is 2.23 m/s.

Explanation:

Given that,

Deceleration = 50 cm/s²

Range = 5 m

Let the maximum speed of robot is

We need to calculate the maximum velocity

Using equation of motion

Where, v = maximum velocity

U = initial velocity

s = distance

Put the value into the formula

Hence, The maximum velocity is 2.23 m/s.

i think the answer is a and b

i wish you luck

energy stored in the capacitor= 9.72 x 10⁻⁴ j

explanation:

the energy stored in the capacitor is given by

e= 1/2 c v²

e= energy stored

c= capacitance= 1.5 µc= 1.5 x 10⁻⁶f

v= potential difference=36 v

so energy stored= e= 1/2 (1.5 x 10⁻⁶) (36)²

energy stored= 9.72 x 10⁻⁴j