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A robot's velocity is described by two components: 49 mm/s North and 42 mm/s East. What is the magnitude of the robot's resultant velocity?

• 42 mm/s

• 49 mm/s

• 65 mm/s

• 91 mm/s

A ball is launched horizontally from a height of 0.70 m and travels a horizontal distance of 1.7 m before landing. Assuming negligible air resistance and g = 9.8 m/s², what was the initial horizontal speed of the ball?

• 1.7 m/s

• 3.2 m/s

• 4.5 m/s

• 6.0 m/s

Which type of equilibrium is characterized by an object returning to its original position after a small displacement, corresponding to a minimum in its potential energy graph?

• Neutral equilibrium

• Unstable equilibrium

• Stable equilibrium

• Dynamic equilibrium

When swinging a bucket of water in a vertical circle, what condition must be met for the water to stay in the bucket at the top of the loop?

• The water must be moving slowly enough for gravity to pull it down.

• The centripetal force must be less than the weight of the water.

• The water must be moving fast enough so that the required centripetal force is at least equal to the weight of the water.

• The bucket must be completely full of water.