A car moving with a speed of 50 km h-1can be stopped by brakes after a...
Understanding the Problem
- Given: Initial speed of the car = 50 km/h, Stopping distance at this speed = 6 m
- To find: Minimum stopping distance when the speed of the car is 100 km/h
Calculating the Deceleration
- When the car is moving at 50 km/h, it can be stopped in 6 m. This means the deceleration is constant.
- Using the formula v^2 = u^2 + 2as, where v is final velocity (0 m/s), u is initial velocity, a is acceleration, and s is distance, we can calculate the deceleration at 50 km/h.
Calculating the Minimum Stopping Distance at 100 km/h
- Now that we have the deceleration at 50 km/h, we can use it to calculate the minimum stopping distance at 100 km/h.
- Using the same formula v^2 = u^2 + 2as, with u = 100 km/h and a calculated deceleration, we can find the minimum stopping distance at 100 km/h.
Answer
- The correct option is (d) 24 m, as calculated in the previous step. At 100 km/h, the car would require a minimum stopping distance of 24 m.
A car moving with a speed of 50 km h-1can be stopped by brakes after a...