An object has an acceleration as a function of time given by (in m/s2): A = (3t2 + 3t) i + (7t3 + 6) j Given: at t=0.0 s, the object is at the origin with a velocity of 0.0 m/s. What is the magnitude of its velocity (in m/s) when t= 4 s ?

A soccer ball is kicked from the ground with an initial speed of 18.9 m/s at an upward angle of 48.1. A player 48.4 m away in the direction of the kick starts running to meet the ball at that instant. What must be his average speed if he is to meet the ball just before it hits the ground? Neglect air resistance.Use g-9.81 m/s². Number 4.32 Unit m/s

An athlete is training on a 100 m long linear track. His motion is described by the graph of his position vs. time, bele X (m) 100- 80 60 40 20 t (s) 60 10 20 30 40 50 (a) For each segment of the graph, find the magnitude and direction of the athlete's velocity. magnitude va m/s direction vA ---Select-- magnitude vg m/s direction VB ---Select--- magnitude vc m/s direction vc --Select- magnitude vp m/s direction vp ---Select--- (b) What are the magnitude and direction of the athlete's average velocity over the entire 60 s interval? magnitude m/s direction ---Select--

Taking north to be the positive y direction and east to be the positive x direction, particle’s position is given by r(t) = [(45.1 m/s)t]i + [(7.37 m)t2]j.At what time, in seconds, is the particle traveling directly northeast?

A particle moving along the x-axis has its velocity described by the function vxvxv_x =2t2m/s=2t2m/s, where tt is in ss. Its initial position is x0x0x_0 = 2.2 mm at t0t0 = 0 ss . At 1.4 ss , what is the particle's position? At 1.4 ss , what is the particle's velocity? At 1.4 ss , what is the particle's acceleration?

An athlete is training on a 100 m long linear track. His motion is described by the graph of his position vs. time, below. x (m) 100 80 D. B 60 40 /A 20 t (s) 60 10 20 30 40 50 (a) For each segment of the graph, find the magnitude and direction of the athlete's velocity. magnitude va m/s direction VA ---Select-- m/s magnitude vg direction vB ---Select--- m/s magnitude vc direction vc ---Select--- m/s magnitude vo direction vo ---Select--- (b) What are the magnitude and direction of the athlete's average velocity over the entire 60 s interval? magnitude m/s direction ---Select--

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

A westward moving bicycle increases its speed from 2.0 m/s to 12.0 m/s in 4.0 seconds. What is the magnitude (value) and direction of the acceleration? Magnitude: Direction:

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?