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In which of these situations would the average velocity vector
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- The figure shows the time dependent velocity of an object. Assuming that the object starts from rest at the origin of the coordinate system, v (m/s) 30 20 10 0 1 2 3 56 t (s) | what is its of the displacement of the object at t = 5 s? What is its maximum acceleration and which interval it occurs? In which interval the object is accelerating? And where it is decelerating?arrow_forwardIn order to go from her office to her favorite pizzeria for lunch, a woman walks due east (polar angle of 0^ 0 ) an average speed of 3.2 m/s for 5 minutes and then walks due north (polar angle of 90^ o ) for 4 minutes at an average speed of 2.7 m/s . (a) What distance does she walk to get to the pizzeria ? (b) What is the avernge speed for her trip?arrow_forwardA car starts from rest at position with speed increasing uniformly along the curved highway until reaching position 3 with a speed of v3, which the car maintains thereafter. Utilize the following values: (4) Calculate the total acceleration of the car (a) immediately after position 1, (b) exactly at position 2, (c) just before position 3, and (d) at position 4. r₁ = 30 m r3 = 43 m Ө (3) 113 e = 29° V3 = 78 kph (1 1arrow_forward
- An object moves in a plane from position r1=(-1,-2) m to the position r2=(-2,7 m and then to r3=(3,8)m. The time of the motion is t=30s. Find (a) total displacement; (b) distance between the initial and final positions; (c)distance travelled (d)average velocity and average speedarrow_forwardPerson A jogs east at a speed of 5 meters per second for 3 minutes, then turns north and jogs at 4 meters per second for 5 minutes. (1) what is the jogging speed of person A for the whole duration?arrow_forwardA particle initially located at the origin has an acceleration of a=3.00jm/s2 and an initial velocity of vi=5.00im/s. Find (a) the vector position of the particle at any time t, (b) the velocity of the particle at any time t, (c) the coordinates of the particle at t = 2.00 s, and (d) the speed of the particle at t = 2.00 s.arrow_forward
- Two riders, Lester and Micko, are travelling in the same direction. Micko is speeding at a constant velocity of 25 m/s. While Lester, who is 50 meters behind Micko when he starts from rest, accelerates at a constant rate of 5 〖m/s〗^2. Determine: (a)The time it takes for Lester to catch Micko. (b) The velocity of Lester when he catches Micko. (c) The displacement of lester as he catches Micko (d) When Lester catches Micko, Lester begins to slow down at a rate of 2.5 〖m/s〗^2. Calculate the total distance travelled by Lesterarrow_forwardUse the definition to find an expression for the instantaneous velocity of an object moving with rectilinear motion according to the given functions relating s and t. s=³ - 81? The expression for the instantaneous velocity of the object isarrow_forward(c) Find, to the nearest metre, the distance between points P and R. A car is travelling on a straight horizontal road. The velocity of the car, vms ', at time t secondsm it travels past three points, P, Q and R, is modelled by the equation -1 v = at +bt+c, where a, b and c are constants. The car passes P at time t = 0 with velocity 8 ms. (a) State the value of c. The car passes Q at time t = 5 and at that instant its deceleration is 0.12 ms2. The car passes R at time t = 18 with velocity 2.96 ms-1. %3D (b) Determine the values of a and b. (e) Find, to the nearest metre, the distance between points P and Rarrow_forward
- Sketch position and velocity graphs that describe each of the following particles:(a) A particle starting at some x > 0 with zero velocity and zero acceleration.(b) A particle starting at x = 0 and moving with a constant positive velocity.(c) A particle starting at x = 0 with a negative velocity that then slows to a stop with constantacceleration.(d) A particle that begins at x = 0, moves at some velocity v for some time t; then instantly changesits velocity to −2v for the same time t before coming to a stoparrow_forwardSuppose the position vector for a particle is given as a function of time by F(c) = x(t)i+y(t)],withx(t)=at+b and y(t)=-ct^2+d, where a=1.20m/s,b=1.10m,c=0.126m/s^2 and d=1.20m. (a) Calculate the average velocity during the time interval from t = 1.90 s to t = 3.85s b) find velocity at t=1.90s Determine the speed at t= 1.90sarrow_forwardIn 1939 or 1940, Emanuel Zacchini took his human-cannonball act to an extreme: After being shot from a cannon, he soared over three Ferris wheels and into a net (see the figure). Assume that he is launched with a speed of 26 m/s and at an angle of 50°. (a) Treating him as a particle, calculate his clearance over the first wheel. (b) If he reached maximum height over the middle wheel, by how much did he clear it? (c) How far from the cannon should the net's center have been positioned (neglect air drag)?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill