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The driver of a car moving at 30 m/s suddenly sees a truck moving in the same direction at 10m/s and is 60 m ahead. The maximum deceleration of the car is 5 m/s?. a). Will the collision occur if the driver's reaction time is zero? If so, when? B). If the car driver's reaction time of 0.5 sec included, what is the minimum deceleration required to avoid the collision.

```
2 years ago

2065 Points
```								inital velocity of car=30m/sa= – 5m/s^2now, taking the truck to be at rest (concept of relative velocity),we have inital velocity of car=30-10=20m/sso the distance is related as :2as=v^2-u^2, v=0, u=20, a= – 5-10s=-400 or s=40 m, so the collision will not occur.	if the reaction time is 0.5 sec, then the car would have travelled 0.5*20=10m (note that we are once again taking the truck as a frame of reference)so now the distance b/w car and truck is 60-10=50mto find the minimum acceleration, we take s=50, v=0, and u=20so we get 100a= 0 – 400or a= – 4m/s^2
```
2 years ago
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### Course Features

• 31 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions