An object traveling in 3-D space has the following location with respect to time about the...
An object moves with respect to its reference (origin) following the following coordinates: x= 4.0m - (0.45m/s^2)t^2 y= (1.50m/s)t + (0.45m/s^3)t^3 a) Obtain the coordinates of the object, the displacement vector and the distance from the origin at t = 0.0 s and at t = 2.0 s. b) Obtain the average vehicle speed between t = 0.0 s and t = 2.0 s. c) If the instantaneous velocity at x of the object varies with time as follows: and...
Please help! :) Discussion #3 1. Consider the motion of an object that can be treated as a point particle and is traveling counter-clockwise in a circle of radius R. This motion can (and will for the purposes of these discussion activities) be described and analyzed using a Cartesian (x-y) coordinate system with a spatial origin at the center of the particle's circular trajectory (the physical path its motion traces out in space). (a) Draw a diagram of the position...
The position vector r describes the path of an object moving in space. Position Vector Time r(t) = + i + tj + 2+ 3/2 t=9. (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) s(t) = a(t) (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. v9) al 9) =
Suppose that the position vector of a particle is given by the following function of time: r = (6.0 + 2.0t^2)i + (3.0 - 2.0t + 3.0t^2)j where distance is measured in meters and time in seconds. (a) What is the instantaneous velocity vector at t=2.0 s? What is the magnitude of this vector? (b) What is the instantaneous acceleration vector? What are the magnitude and direction of this vector?
An object moves along the x axis according to the equation x = 3, 15t2-2.00t + 3.00, where x is in meters and t is in seconds. (a) Determine the average speed between t-2.40 s and t 4.40 s m/s (b) Determine the instantaneous speed at t2.40 s m/s Determine the instantaneous speed at t4.40 s m/s (c) Determine the average acceleration between t-2.40 s and t- 4.40 s. m/s2 (d) Determine the instantaneous acceleration at t2.40 s m/s2 Determine...
The position vector r describes the path of an object moving in space. Position Vector Time r(t) = 12; + tj + 243/2k t = 4 (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) = s(t) a(t) (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. (4) = a(4) 11 Use the model for projectile motion, assuming there is no air resistance and g = 32 feet...
1. The velocity of an object traveling along the x-axis changes from 20 m/s to 60 m/s in 10 seconds. What was the displacement that occurred during this time? 2. An object moving along the x-axis initially has a velocity of 60 m/s and is slowing rest? down at the rate of 4 m/s per second. How far (in meters) will it travel before coming to 3. An accelerating object travels 12 meters from rest in a certain time. How...
(1 point) 3 m/s2. Att2 s, the object is located at r(2)5m and has a velocityv(2 1 m/s. Which of the following correctly expresses the position in meters as a function of time 4" An object's acceleration in the x-direction is given as a function of time ax(t) = in seconds? (a) x(t) = 1.5 (b) z(t) 1.5 +5 (c) (t) 1.5t2 + 1t 5 (d) x (t)-15P-5t + 9
At the time t = 0 s, an object of mass m = 10.5kg goes through the origin of a reference frame with at velocity x_0 = 12.0 m/s directed along the x axis. A constant force F = 15 N distorted along the y axis is applied to the object. a) Draw a free body diagram of the object. b) Calculate the magnitude of the object's acceleration. c) Calculate the x and y coordinate of the object at the...
Please help me with it 3. Calculate the magnitude of the following vectors, and draw them on an x-y coordinate system: A=i- j and B = 2î +3j. Add the two vectors graphically (show their resultant on the same x-y coordinate system). (10 points) 4. The position of an object is related to time by x=-21+4t+5 (where x is in meters and time in seconds) a) Find the instantaneous velocity and acceleration of the object as a function of time;...