To determine if Sipho will stop before colliding with the bull, we need to calculate the distance he will travel after applying the brakes for 3 minutes.
Given data:
- Sipho's initial speed = 5 m/s
- Distance between Sipho and the bull when he spots it = 20 m
- Time taken to start applying brakes after spotting the bull = 30 seconds
- Time taken to stop after applying brakes = 3 minutes = 180 seconds
First, calculate the distance Sipho will travel before applying the brakes:
Distance traveled before applying brakes = Initial speed x Time taken to start applying brakes
Next, calculate the distance traveled after applying the brakes for 3 minutes:
Distance traveled after applying brakes = Initial speed x Time taken after applying brakes
The total distance covered will be:
Total distance = Distance before applying brakes + Distance after applying brakes
Since the bull was initially 20 m ahead of Sipho, and Sipho will travel 1050 m in total before stopping, he will stop before colliding with the bull, as he will cover a distance greater than the initial separation of 20 m.
