Knowee
Questions
Features
Study Tools

A 2 m wide truck is moving with a uniform speed v0=8 m/s along a straight horizontal road. A pedestrian starts to cross the road with a uniform speed v when the truck is 4 m away from him. The minimum value of v so that he can cross the road safely is2.62 m/s4.6 m/s3.57 m/s1.414 m/s

Question

A 2 m wide truck is moving with a uniform speed v0=8 m/s along a straight horizontal road. A pedestrian starts to cross the road with a uniform speed v when the truck is 4 m away from him. The minimum value of v so that he can cross the road safely is2.62 m/s4.6 m/s3.57 m/s1.414 m/s

🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve this problem, we need to find the time it takes for the truck to reach the pedestrian and make sure the pedestrian can cross the road in less time than that.

  1. First, calculate the time it takes for the truck to reach the pedestrian. The truck is 4 m away from the pedestrian and moving at a speed of 8 m/s. So, the time it takes for the truck to reach the pedestrian is distance/speed = 4 m / 8 m/s = 0.5 s.

  2. Next, calculate the minimum speed the pedestrian needs to cross the road before the truck reaches him. The pedestrian needs to cross a distance of 2 m (the width of the truck). So, the minimum speed of the pedestrian is distance/time = 2 m / 0.5 s = 4 m/s.

Therefore, the minimum value of v so that the pedestrian can cross the road safely is 4 m/s.

This problem has been solved

Similar Questions

A car of length 1 m is moving on a straight road with a uniform velocity of 20 m/s. Initially the front of the car is 100 m behind the rear end of a truck of length 15 m. The truck and the car are moving in the same direction. Truck has a uniform speed of 10 m/s. Find the time taken for the car in seconds to travel from the initial point to completely pass the truck.6 s8.8 s11.6 s5.9 s

A van is moving with a speed of 72 kmh–1 on a level road, where the coefficient of friction between its tires and road is 0.5. The minimum radius of curvature, the road must have for safe driving of van is (g = 10 m/s2)A 80 m B 40 m C 20 m D 4 m

A driver drives a car at uniform velocity along a road. The driver sees a hazard and applies the brakes.What is the car’s motion as it moves through the thinking distance and as it moves through the braking distance?*1 point

A man crosses a road 10.0m wide at a speed of 2.0m/s.10.0mHow long does the man take to cross the road?

Solve this related rates problem:An automobile traveling at a rate of 20 feet per second is approaching an intersection. when the automobile is 100 ft from the intersection a truck traveling at the rate of 40 ft per second crosses the intersection. the automobile and the truck are on roads that are right angles to each other. how fast are the truck and the automobile separating 2 seconds after the truck leaves the intersection

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.