Septic tank and standard measurements, Summaries of Engineering

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AGUSTIN, ASHLEY KATE C.

BSCE 3D

PROBLEM SET 1

AGUSTIN, ASHLEY KATE C. BSCE 3D PROBLEM SET 1 sfluation 1; A man drives his Mercedes Benz down a straight road at 5.2 km at 40 kph at which point he ran outof gas. The man walked 1.5 km farther to the nearest gas station in 25 minutes. What is the average velocity of the driver from the time that the car started to the time when the driver arrived at the gas station? Situation 2: A man runsaround acircular track of 800 meters radius for 30 seconds, starting at a point directly to the right of the center and goes in a counterclockwise manner, He goes 5 meters per second for the first 15 seconds, runs 90 meters for the next 6 seconds and then 180 meters for the rest of the course, 4. What was his average speed? 2. What was his displacement from the starting point? 3. What was his average velocity? - 4 What will be his total displacement upon return to the_ starting point? Situation 3: At the instant the traffic light turns green, an automobile starts with a constant acceleration of 22 m/s?, At the same instant a truck traveling with a constant speed of 93 m/s overtakes and passes the automobile. How far beyond the starting point will the automobile overtake the ‘truck? Situation 4: A stone is projected vertically upward from the top of a 120-m- high tower at a velocity of 36 m/s, |, How high will t go reckoned from the ground? How long will it tke it to reach the top? How high will tbe above the ground after 9 seconds? How long will it reach the ground? With what velocity will ithit the ground? yeep by the relatio® sfived as: secs he motion of a part s wheres and tare expressed int mae ine: Situation 7: xed. 6u- 1+ respectively. Dete the time when the velocity is zero the position of the particle at that time the acceleration of the particle at that tine the total distance traveled when t= 4 seconds: the average velocity during the time interval 1 $¢= 4 the average speed during the time interval 1 sts 4 the average acceleration during the time interval 1S te 4 Hee eee Situation 8; The components of the acceleration of a particle, starting from rest, are as follows: a, = O7t ay = 3-05 ae? Assuming the particle starts from rest, determine the: 1. resultant acceleration of the particle after 5 seconds 2 resultant velocity of the particle after 5 seconds 3. resultant displacement of the particle after 5 seconds Situation % A particle moving along a straight line is subjected to a deceleration a = (-2v°) m/s*, where v is in m/s. it has a velocity of v = 8 m/s and a position § = 10 m when t=0, 1. Determine its velocity when t= 4 seconds 2. Determine its position when t = 4 seconds Situation 17: A race car starts from rest in the pit area ang accelerates at a uniform rate 10 4 speed of 35 m/s in 1] 5 moving on a circular track of radi ™. Assuming constant tangential acceleration, 1. Determine the tangential acceleration. 2 Determine the centripetal acceleration, at the instant th, sped is w= 15:m/s, 4 Determine the total acceleration, at the instant the speeq isv = 15 m/s. ‘Situation 18; To anticipate the dip and hump in the road, the driver of a car applies her brakes to produce a uniform, deceleration. Her speed is 100 kph at the bottom A of the dip and 30 kph at the top C of the hump, which is 120 m along the road from A. If the passengers experience a total acceleration of 3 m/s? at A and if the radius of curvature of the hump at C is 150 m, determine the ; 1. radius of curvature at A 2. acceleration at the inflection 3. total acceleration at C