Question 4 of 11intermediate🔧 ApplyNumerical3 marks

A car moving along a straight highway with speed of 126 km h−1^{-1} is brought to a stop within a distance of 200 m. What is the retardation of the car (assumed uniform), and how long does it take for the car to stop?

(i)
Answer

Retardation = 3.06 m s⁻²

(ii)
Answer

Time taken = 11.43 s

Explanation

This numerical problem applies the equations of motion for uniformly accelerated motion. The textbook context in Example 2.6 demonstrates that for stopping distance, we use the equation v² = v₀² + 2ax where the final velocity v = 0. The negative acceleration obtained represents retardation. The time can then be found using v = v₀ + at.