3. A car comes to a complete stop from an initial speed of 50 mph in a distance of 100 ft. With the same constant acceleration, what would be the stopping distances from an initial speed of 70 mph. Set your own variables for each parameter as you see fit.
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- Show complete solutions. Please draw a diagram. A motorbike has a constant speed of 5.00 m/s along a straight line from point A to point B and then back along the line from B to A at a constant speed of 3.00 m/s. A) What is the average speed over the entire trip? B) What is the average velocity over the entire trip?4. A car is traveling at a constant speed of 130 kph at a location where the speed limit is 100 kph. A police officer gives chase and from rest begins to accelerate at the constant rate of 6 m/s2 until a speed of 160 kph is reached and maintained. How much distance is required for the officer to over- take car A. Set your own variables for each parameter as you see fit. 5. A projectile is fired downward in an experimental fluid and experiences an acceleration of a = o-nv², where o and n are positive constants and v representing the velocity. Determine the distance travelled by the projectile when its velocity has been reduced to half. Determine also the terminal velocity. Evaluate for a = 0.7 m/s², n = 0.2 m-¹, and initial velocity of 4 m/s.1. An engineer is traveling in a straight road using his newly acquired Toyota Fortuner and found himself 120 m away from his starting point after 10 seconds. After traveling for two more seconds, he was found to be 132 m from his starting point. If he is moving with constant acceleration, determine: (a) his initial velocity (m/s), (b) his constant acceleration (m/s²),
- what distance (in meters) does the car travel during this time? PROBLEM 2: A bicyclist starts from rest and after travelling along a straight path a distance of 20m reaches a speed of 30 km/hr. Determine his acceleration (m/s²) if it is constant. Also, how long (in seconds) does it take to reach the speed of 30 km/hr? PROBLEM 3: If it takes 3 seconds for a ball to strike the ground when it is released from rest, determine the height in motors of the building from which it was released?A truck weighing 5 kips is traveling with a constant velocity of 55 mph when brakes are applied causing a braking force of 2 kips. If the truck is going up a road inclined at 10°, determine the distance traveled before it stops. 214.42 feet 120.12 feet 125 feet 176.17 feet 150 feet 321.12 feet 187.13 feet 110.57 feetSituation 1: Two automobiles A and B are approaching each other in adjacent highway lanes. At t = 0 seconds, A and B are 1 km apart, their speeds are VA = 110 kph and VB = 60 kph and they are at points P and Q respectively. Knowing that A passes point Q, 40 seconds after B was there and that B passes point P, 42 seconds after A was there. Question 6 Question 7 Question 8 Determine the time when they pass each other. Determine the speed of B when they pass each other. Determine the acceleration of A. 25.89 sec O 24,88 m/s O 0.139 m/s^2 O 20.89 sec O 25.12 m/s O -0.278 m/s^2 O 10.89 sec O 23.77 m/s O 0.34 m/s^2 15.89 sec O 22.54 m/s O 0.48 m/s^2
- In traveling a distance of 2.3 km between points A and D, a car is driven at 91 km/h from A to B for t seconds and 43 km/h from C to D also for t seconds. If the brakes are applied for 3.7 seconds between B and C to give the car a uniform deceleration, calculate t and the distances between A and B. Answers: t= S= 91 km/h i B 2.3 km 43 km/h S km DA motorcyclist travels along a straight road. His velocity is shown in the v-t graph. A) Construct the s-t graph B) What is the total distance travelled?Problem Solving. Show all necessary solutions. 1. A car is driving at speed of 80 mph in a circular track with a radius of 1500 ft. The driver applied brake to decelerate the car and after 6 seconds, the speed decreases to half the original speed. What is the acceleration of the car at the instant after the brakes have been applied? At ft/s2 a. 9.18 b. 13.4 c. 9.78 d. 14.3
- It takes about 3 s for a driver having 0.1% alcohol in his system to react to a situation to avoid a collision. If such drivers are traveling on a straight road at 45.5 ft/s and their cars can decelerate at 2.64 ft/s^2, determine the shortest stopping distance d (in feet) from the moment they see the pedestrians. The Correct answer is 528.59. Show solution.A new light rail train can accelerate at 4.27 ft/sec2 and can decelerate at 4.59 ft/sec2. Its top speed is 50.0 mph. 1. How much time does it take the train to reach its top speed when starting from a stopped position at a station? Report your answer in seconds to one decimal place. seconds 2. How many feet does it take the train to reach its top speed? Report your answer to one decimal place. feet 3. What is the minimum station spacing to allow this train to reach its top "speed before it has to begin braking for the next station?" Report your answer to one decimal place. feetFour race cars are traveling on a 2.5-mile tri-oval track. The four cars are traveling at constant speeds of 195 mph, 190 mph, 185 mph, and 180 mph respectively. Assume you are an observer standing at a point on the track for a period of 30 minutes and are recording the instantaneous speed of each vehicle as it crosses your point. Find the TSM, SMS, q, and k