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In which of these situations would the average velocity vector
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- In 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_forwarde.g. There is a ball is sinking in some 0 with = (10m-s¹), and acceleration a = (-1.0s¯¹)v} (1) How much time does it take before it is almost stop moving? (2) How long does it pass during this period? 37arrow_forward(a) Can a particle moving with instantaneous speed 5.00 m/s on a path with radius of curvature 3.00 m have an acceleration of magnitude 11.00 m/s²? O Yes O No If the answer is yes, explain how it can happen; if the answer is no, explain why not. This answer has not been graded yet. (b) Can it have an acceleration of magnitude 7.00 m/s²? O Yes O No If the answer is yes, explain how it can happen; if the answer is no, explain why not. This answer has not been graded yet. Need Help? Submit Answer Read Itarrow_forward
- A toy frog is initially at the origin of a Cartesian coordinate system. Upon leaping, its position after a second is given by P = (5.0 cm)i + (70 cm)) + (3.0 cm) k What is the distance (in centimeter) traveled by the toy frog assuming straight-line motion?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_forwardDoes a car moving around a circular track with constant speed have (a) zero acceleration, (b) an acceleration in the direction of its velocity, (c) an acceleration directed away from the center of its path, (d) an acceleration directed toward the center of its path, or (e) an acceleration with a direction that cannot be determined from the given information?arrow_forward
- At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vi=(3.00i2.00j)m/s and is at the origin. At t = 3.00 s, the particles velocity is vf=(9.00i+7.00j)m/s. Find (a) the acceleration of the particle and (b) its coordinates at any time t.arrow_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_forwardThe position vector of a cat running on a field is given by: r(t) 312 – 4t + 2 y(t) 6t2 – 5t where x, y are in meters and t is in seconds. (a) Compute the magnitude and direction of the average velocity in the time interval betweent = 0 and t = 3 seconds. (b) Find the magnitude and direction of the acceleration of the cat at t = 2 and at t = 4 secondsarrow_forward
- Use 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_forwardAnswer the followingarrow_forwardThe displacement of an object with respect to a fixed point in the horizontal plane is ri = (2i-3j) m, and this point velocity vi = (2i + j) m / s. After the object moves with constant acceleration for 15 s, its velocity v = If (10i - 2j) m / s, in which direction is it moving at t = 20s, from the kinematic equations find it using.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