While a car is moving with a speed 108 k on a straight road the driver sees a truck which enters the road 75m ahead. The driver applies full brake 0.5s after s/he observes the truck, however the car hits the truck with a speed of 50 k. Then what would be the maximum initial speed of car in when the driver observes the truck in order that the car does not hit the truck with all other conditions are the same?
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- . Cars A and B starts from rest at the intersection of two roads which makes an angle 60° with each other. Car A accelerates at 0.85 m/s2 and car B has an acceleration of 0.70 m/s2. Determine the relative displacement of the two cars 30 seconds after leaving the intersection. Determine the relative velocity of the two cars 30 seconds after leaving the intersection. Determine the relative acceleration of the two cars 30 seconds after leaving the intersection.A driver on a level two-lane highway observes a truck completely blocking the highway. The driver applied the brakes and utilized the maximum longitudinal friction of 0.45 between the wet pavement surfaces and tires. The vehicle stopped only 10 m from the truck. If the driver was driving at 100 km/h, how far was she from the truck when she first observed it (assume perception-reaction time is 1.5 seconds)? How far was she from the truck at the moment the brakes were appliedA car starts from rest and travels 10 sec. with an acceleration of a = 4 – 0.3t, then runs for 30 sec. at constant velocity and finally comes to rest by decelerating at 3.125 m/s2. Determine the velocity of the car after 10 sec. Determine the distance traveled by the car during the period of 10 sec. c. Determine the total distance traveled by the car until it stops.
- The brakes of a car are applied, causing it to slow down at a rate of 10 ft/s2. Knowing that the car stops 300 ft, determine (a) how fast the car was traveling immediately before brakes were applied, (b) the time required for the car to stop.Situation 3. A road having a radius of 120m and has angle of 9.31 degrees from the horizontal. The center of gravity of the car is located 0.80m above the roadway and the distance between the two front wheels is 1.20m. If the car has a total weight of 15 KN, a. Compute the normal acceleration and the velocity of the car before overturning. b. If uk= 0.60, what is the velocity of the car without sliding? Please answer this with a complete solution and with a Free Body Diagram PLEASE. Thank you.A car running at 80kph saw an oil truck in an accident 250 meters away. At the same time the truck is spilling oil causing a 60% reduction of friction. If initial f=0.30 a) will the car hit the obstruction? b) assuming that the tires would be replaced in such a way that the f=0.70, how much distance will the car have away from the obstruction? c) If the obstruction is 120m away and the oil did not spill, what would have been a safe speed at which the car will not hit the obstruction from 10m away assume f=0.3
- A motorcycle patrolman starts from rest at A 2 sec. after a car speeding at the constant rate of 120 kph passes point A. If the patrolman accelerates at the rate of 6 m/s2 until he reaches his maximum permissible speed of 150 kph, which he maintains. a. Find the time for the patrolman to reach a maximum permissible speed of 150 kph. b. How long did it take the patrolman to overtake the car from the time he starts from A.? c. Calculate the distance S from point A to the point at which he overtakes the car.A motorist is traveling at v0 = 63 km/h when she observes that a traffic light x = 448m ahead of her turns red. The traffic light is timed to stay red for 26s. If the motorist wishes to pass the light without stopping just as it turns green again, determine (a) the required uniform deceleration of the car and (b) the speed of the car as it passes the light.In some applications dealing with very high speeds, the velocity is measuredin mm/µs. Convert 25 mm/µs into (a) m/s; and (b) mi/h.
- The driver of a car travelling at a certain speed suddenly sees an obstruction ahead and travelled a distance of 55.8 m during the perception time of 1.45 sec. Determine the car's speed of approach in kph a.136.54 kph b.140.54 kph c.138.54 kph d.138.00 kphThe acceleration of a car is given by a= | (3t^3 + 4t)i+ 6tj + (8t - 5) k] m/s^2. Determine the magnitude of its velocity when t = 3s. When t O s, vx = 2 m/s, vy = 3 m/s and vz =5 m/sA motorcyclist at A is traveling at 60 ft/s when he wishes to pass the truck T which is traveling at a constant speed of 60 ft/s. To do so the motorcyclist accelerates at a = 6 ft/s^2 until reaching a maximum speed of 85 ft/s If he then maintains this speed, determine the time needed for him to reach a point located 100 ft in front of the truck. Draw the v-t and s-t graphs for the motorcycle during this time.