1) The light rail train starts from rest and speeds up at a rate of 1.70 m/s² for 13.0 seconds. It moves alonga long, straight track. It goes at a constant speed for 80.0 s, and then slows down at a rate of 3.40 m/s²until it stops at the next station. a) Sketch the velocity as a function of time. b) Find the total distancethat the train moves during this time.

Step 1:Given:The initial speed of the train: v0=0m/sThe train accelerates uniformly for Δt1=13.0s…

Answered: 1) The light rail train starts from…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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During 55 successive 1.001.00 min intervals, a runner moves at the following constant speeds: 0.4000.400 km/min, 0.2000.200 km/min, 0.1100.110 km/min, 0.1100.110 km/min, and 0.3600.360 km/min. a.) Find the total distance traveled. b.) Find the average speed.
A car traveling 56.0 km/h is 23.0 m from a barrier when the driver slams on the brakes. The car hits the barrier 2.05 s later. a) What is the magnitude of the car's constant acceleration before impact? b) How fast is the car traveling at impact?
4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point, has x - and y-coordinates that vary with time: x = (3 − 2t); y = (-t² + 4t³) where x and y are in meters and t is in seconds. a. Find the average velocity of the robot between t = 0s and t = 2s. b. Find the average acceleration of the robot between t = 0s and t = 2s. c. At what time the acceleration of the robot will be zero. a. Vavg= -21 + 14ĵ m/s b. davg = 22ĵ C. m s² 2 t = = = 0.083 s 24
4. Marcus throws a rock straight up into the air. It leaves his hand 1.2 meters above the ground, and it hits the ground 3.5 seconds later. Find a. the initial speed of the rock when it leaves his hand b. the maximum height the rock reaches before falling back down, relative to the ground c. the speed of the rock right before it hits the ground
Q2. a) For the displacement equation, s = t2 +t-5, find the velocity and acceleration equations and plot each equation for the first 5 seconds. b) Compute your average velocity in the following two cases: (a) You walk 73.2 m at a speed of 1.22 m/s and then run 73.2 m at a speed of 3.05 m/s along a straight track. (b) You walk for 1.00 min at a speed of 1.22 m/s and then run for 1.00 min at 3.05 m/s along a straight track. (c) Graph x versus I for both cases and indicate how the average velocity is found on the graph.
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Situation 01. A car is traveling due East at a rate of 36.2 kph and a train is due North at a speed of 74.70 kph and bound to meet at an intersection 1 km for the train and the car . a . Determine the acceleration of the car , if the car reaches the intersection 10 seconds ahead of the train . b . Determine the velocity of the car at the intersection .
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1. The acceleration of a car is given by a(t) = A – Bt + Ct² , where A = 1.0 m/s², B = 0.5 m/s³, C = 2.0 m/s“. The car is at rest at the origin at time t= 0. Find its position and velocity as a function of time. b. Sketch its position, velocity, and acceleration. a.
A pumpkin is shot straight up with an initial speed of 59 m/s. How long does it take to reach its maximum height, in seconds? Use g= 10 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. (No unit is needed in your answer, it is already given in the question
A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 23.0 m/s, and the distance between them is 55.0 m. After t₁ = 3.00 s, the motorcycle starts to accelerate at a rate of 7.00 m/s². The motorcycle catches up with the car at some time t2. Figure 1 of 1 car motorcycle x(1) car x(1) x(1) BRE car motorcycle motorcycle A time с time time motorcycle x(1) car car LE motorcycle B time D time How long does it take from the moment when the motorcycle starts to accelerate until it catches up with the car? In other words, find t₂ - t₁. Express the time numerically in seconds using three significant figures. ► View Available Hint(s) VE ΑΣΦ ? t₂-t₁= 1.58 Submit Previous Answers X Incorrect; Try Again; 4 attempts remaining Part C How far does the motorcycle travel from the moment it starts to accelerate (at time t₁) until it catches up with the car (at time t₂)? Should you need to use…
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