👉 🔥 CLICK HERE! 🔥 👈

A series of free Calculus Video Lessons from UMKC - The University of Missouri-Kansas City.Rectilinear Motion, Velocity, Speed, & Acceleration, Analyzing a Position Graph, Substitution Method of Integration for Definite Integrals.Calculus I - Lecture 28 One-Dimensional Motion & the DerivativeRectilinear Motion Revisited 4.5 min.Velocity, Speed, & Acceleration 12 min.Analyzing a Position Graph 8.5 min.An Exercise 11.5 min.Definite Integration by SubstitutionExtending the Substitution Method of Integration to Definite Integrals 9 min.Some Exercises 4 min. Try the free Mathway calculator andproblem solver below to practice various math topics. Try the given examples, or type in your ownproblem and check your answer with the step-by-step explanations. We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page. In order to continue enjoying our site, we ask that you confirm your identity as a human. Thank you very much for your cooperation. In this worksheet, we will practice applying integrals to solve problems involving motion in a straight line. Q1: A car, starting from rest, began moving in a straight line from a fixed point. Its velocity after 𝑡 seconds is given by 𝑣=8𝑡+6𝑡𝑡≥0.ms, Calculate the displacement of the car when 𝑡=9seconds. Q2: A particle is moving in a straight line such that its velocity at time 𝑡 seconds is given by 𝑣=15𝑡−8𝑡𝑡≥0ms,. Given that its initial position is 20 m, find an expression for its position at time 𝑡 seconds. A5𝑡−8𝑡+20 m B(30𝑡−8) m C5𝑡−4𝑡+20 m D(30𝑡+20) m Q3: A particle is initially at rest at the origin. It starts to move along the 𝑥-axis such that at time 𝑡 seconds, its velocity is given by 𝑣=𝑡(27−54𝑡)𝑡≥0.ms, What is the particles displacement when it comes to instantaneous rest? A98 m B90 m C274 m D458 m E92 m Q4: A particle moves along the 𝑥-axis. At time 𝑡 seconds, its acceleration is given by 𝑎=(4𝑡+6)𝑡≥0.ms, Given that at 𝑡=2s, its velocity is 28 ms, what is its initial velocity? Q5: A particle moves in a straight line. At time 𝑡 seconds, its velocity, in meters per second, is given by 𝑣=3(10𝑡)−5(8𝑡)sincos, 𝑡≥0. What is its displacement in the interval 0≤𝑡≤𝜋2seconds? Q6: A particle is moving in a straight line such that its acceleration at time 𝑡 seconds is given by 𝑎=(2𝑡−18)𝑡≥0ms,. Given that its initial velocity is 20 ms, find an expression for the displacement of the particle at time 𝑡. A𝑡−18𝑡 m B𝑡3−9𝑡+20𝑡 m C𝑡−27𝑡 m D𝑡−18𝑡+20 m Q7: A particle moving in a straight line accelerates at the rate of 2𝑡+7 ms2 after 𝑡 seconds of motion. If 𝑣(0)=−8 ms, how long does it take for the velocity to reach 50 ms? Give your answer to 2 decimal places. Q8: A particle started moving in a straight line. Its acceleration at time 𝑡 seconds after it started moving is given by 𝑎=−5𝑡+5,𝑡≥0ms. Find the maximum velocity of the particle (𝑣max) and the distance 𝑥 it traveled before it attianed this velocity, given that the initial velocity of the particle is 0 ms. A𝑣=203maxms, 𝑥=2512m B𝑣=103maxms, 𝑥=103m C𝑣=103maxms, 𝑥=2512m D𝑣=203maxms, 𝑥=103m Q9: The acceleration of a particle moving from rest in a straight line, at time 𝑡 seconds, is given by 𝑎=(39−3𝑡)0≤𝑡≤13.cms, When 𝑡>13, the particle moves with uniform velocity 𝑣. Determine the velocity 𝑣 and the distance, 𝑑, covered by the particle in the first 23 s of motion. A𝑣=−690cms, 𝑑=4,703cm B𝑣=−690cms, 𝑑=4,232cm C𝑣=253.5cms, 𝑑=4,732cm D𝑣=760.5cms, 𝑑=9,802cm E𝑣=253.5cms, 𝑑=4,232cm Q10: A particle, starting from rest, began moving in a straight line. Its acceleration 𝑎, measured in meters per second squared, and the distance 𝑥 from its starting point, measured in meters, satisfy the equation 𝑎=𝑥15. Find the speed 𝑣 of the particle when 𝑥=11m. A𝑣=11√5515ms B𝑣=11√11015ms C𝑣=12145ms D𝑣=24215ms This lesson includes 64 additional questions and 351 additional question variations for subscribers.
https://wakelet.com/wake/3Fm6S3fPy-Dt4xLPv99Iw
https://wakelet.com/wake/E5pcGLvh0tefbT1oanBTB
https://wakelet.com/wake/AHlyOiVF5T1J_dgHKWMOF
http://discarga.com/wp-content/plugins/formcraft/file-upload/server/content/files/1630f327d5bebe---lonifigugolubusuki.pdf
http://kwik-it.ru/wp-content/plugins/formcraft/file-upload/server/content/files/1632a6358bc65f---46743594302.pdf
https://wakelet.com/wake/SUhnxmJbeQ4WXFenhiC3C
https://wakelet.com/wake/suajBED5BEXcBz31D7-X7
http://newworldss.com/uploads/file/48862049831.pdf
https://wakelet.com/wake/iKh_1UGK9tvimVXv4BL_w
https://wakelet.com/wake/TuBw0DlyxiEFKX3E7Morh
https://jck.ro/userfiles/file/787998.pdf
https://wakelet.com/wake/LCmOtyZ2Gh1RuHBTv4hB1
https://wakelet.com/wake/yOX8_HIw67N_01yen1CVE
https://wakelet.com/wake/VZA5VM--wDXEouGip1Uva
http://zadonskiy.ru/wp-content/plugins/formcraft/file-upload/server/content/files/1624dc331ce304---zedogomatugizij.pdf
https://wakelet.com/wake/r_Yp8yeM6GhGnUydtrCTo
https://wakelet.com/wake/SYo1Q4yuHXr7N9xlJhGV-

Items