A particle travels along a straight line with a velocity of v = (20-0.02 s^2) m/s, where s is in meters. Determine the acceleration of the particle at s = 10 m .

A particle moving along the x-axis has its position described by the function x =( 5.00 t^3-5.00t+t+ 1.00 )m, where t is in s. At t= 4.00, what are the particle's (a) position, (b) velocity, and (c) acceleration?

A computer model displays the motion of a particle on a coordinate system in real time. At time t = 0, the particle is at the origin of the coordinate system and has velocity components v₁ = 0 and "x Vy = 6.8 m/s. The particle has acceleration components of ax = -3.2 m/s² and = 0. ay (a) What are the x and y positions of the particle, in meters, at t = 4.0 s? X = y = Vx Vy m (b) What are velocity components of the particle, in m/s, at t = 4.0 s? m/s m/s = m (c) How does the speed of the particle change from t = 0 to t = 4.0 s? O The particle's speed remains constant. O The particle's speed decreases with time. O The particle's speed increases and then decreases with time. O The particle's speed increases with time.

An object is thrown vertically upward and has a speed of 20.1 m/s when it reaches 0.45 of its maximum height above the launch point. Determine its initial velocity (m/s).