An object has an initial velocity 4.3î + -3.7j m/s. Over a v1 = period of time t= 1.4 s, its velocity became v2 = -2î+ 0.53 m/s. The magnitude of the

A small object moves along the x-axis with acceleration ax(t) = −(0.0320m/s3)(15.0s−t). At t = 0 the object is at x = -14.0 m and has velocity v0x = 4.10 m/s. What is the x-coordinate of the object when t = 10.0 s?

A fish swimming in a horizontal plane has velocity V₁ = (4.00 i + 1.00 ĵ) m/s at a point in the ocean where the position relative to a certain rock is r = (16.01- 3.60 ĵ) m. After the fish swims with constant acceleration for 15.0 s, its velocity is = (15.01 - 1.00 j) m/s. (a) What are the components of the acceleration of the fish? ax = m/s2 m/s2 ay = (b) What is the direction of its acceleration with respect to unit vector î? counterclockwise from the +x-axis (c) If the fish maintains constant acceleration, where is it at t = 24.0 s? x = y = m In what direction is it moving? counterclockwise from the +x-axis

A particle has a position in space given by r = 2t^3 i + 4t^2 j - 3t k where r is in m and t in seconds. Find the magnitude of the instantaneous velocity at t = 3.0 s. 24 m/s 75 m/s 54 m/s 59 m/s

Physics A miniature quadcopter is located at x, = 2.25 m and y, =-2.70 m at t = 0 and moves with an average velocity having components Yav, x = 1.70 m/s and Yav, y =-2.50 m/s. What are the x- coordinate and y-coordinate (in m) of the quadcopter's position at t = 1.60 s? x-coordinate = y-coordinate = Please help! Thank you in advance!

15. A runner runs one lap on a 400 m oval in 50 s (i.e. he returns to his starting point in 50 s). What is the magnitude of his average velocity for this 50 s interval? 4.0 m/s 6.0 m/s     8.0 m/s 0.80 m/s zero 14. The magnitudes of two vectors  A and  B are 13 units and 8 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector R = A +B ? largest  units smallest  units

At t₁ = 3.00 s, the acceleration of a particle moving at constant speed in counterclockwise circular motion is a₁ = (3.00 m/s²)i + (6.00 m/s²)ĵ At t₂ = 7.00 s (less than one period later), the acceleration is a₂ (6.00 m/s²) - (3.00 m/s²) The period is more than 4.00 s. What is the radius of the circle?

2. The velocity of a particle is given by v = {14t?î+ (4t + 3)j + 6t³k} m/s, where t is in seconds. If the particle is at the origin when t = 0, determine the magnitude of the particle's acceleration when t = 3 s. Also, what is the x, y, z coordinate position of the particle at this instant?