A robot moves in a straight line, accelerating uniformly from rest. It travels 180 meters in 6 seconds with constant acceleration. What is its final velocity in meters per second?

Sun, 03 May 2026 09:27:23 +0000

**How a Robot Accelerating Uniformly Delivers Peak Speed in Just 6 Seconds** What happens when a robot glides across a futuristic futuristic highway, starting from rest and leaving observers in awe? It’s not magic—just precise physics in motion. When a robot moves in a straight line while accelerating uniformly from rest, reaching 180 meters in 6 seconds reveals a powerful truth about motion: velocity isn’t static—it builds. Understanding how such a system computes final speed opens doors to insights in robotics, automation, and real-world transportation innovation.
This precise calculation sparks growing interest—especially in the US—where automation is reshaping tech, industry, and daily life. People are curious: how do machines tame acceleration with such precision? What does this movement tell us about control and efficiency? Acceleration, in simple terms, is how fast speed changes. For a robot starting at zero and reaching 180 meters in 6 seconds uniformly, physics delivers a clear answer. Using the formula: distance = speed at start × time + 0.5 × acceleration × time², and knowing initial velocity is zero, we derive final velocity squared: v² = 2 × distance × acceleration. But here, acceleration itself follows a formula derived from uniform acceleration: total distance = initial velocity × time + 0.5 × acceleration × time². Since initial velocity is zero, and total distance is 180 meters over 6 seconds, we calculate acceleration and solve for final velocity. Acceleration equals 2 × distance divided by (time squared): a = 2 × 180 / (6²) = 360 / 36 = 10 meters per second squared.
Final velocity, v = a × t, becomes 10 × 6 = 60 meters per second.
This result means the robot pushes through the air—or a track—reaching 60 meters each second at full speed after exactly 6 seconds.