How far will a humanoid robot travel in 3.0 s, accelerating at 1.0cm/s^2(forward) if its initial velocity is 5.0cm/s(forward)
answer is 20cm (forward)
To find the distance traveled by the humanoid robot, we can use the equation of motion:
distance = initial velocity × time + 0.5 × acceleration × time^2
Given:
- Initial velocity (u) = 5.0 cm/s (forward)
- Time (t) = 3.0 s
- Acceleration (a) = 1.0 cm/s^2 (forward)
Plugging in these values into the equation, we have:
distance = (5.0 cm/s) × (3.0 s) + 0.5 × (1.0 cm/s^2) × (3.0 s)^2
distance = 15.0 cm + 0.5 × 1.0 cm/s^2 × 9.0 s^2
distance = 15.0 cm + 4.5 cm
distance = 19.5 cm
Hence, the humanoid robot will travel a distance of 19.5 cm (forward) in 3.0 seconds, considering the given initial velocity and acceleration.