The velocity function is v(t) = −t² + 5t − 4 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [-3,5]. displacement : distance traveled: =

A particle moves in a straight line with the given velocity (in meters per second). Determine the total distance traveled over the given time interval. v(t) = 36 – 24t + 3t?, [0,11]. Input your answer as a number without the correct units (meters).

The acceleration of an object (in m/s²) is given by the function a(t) = 6 sin(t). The initial velocity of the object is v(0) 11 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = = b) Find the object's displacement (in meters) from time 0 to time 3. meters c) Find the total distance traveled by the object from time 0 to time 3. meters

Please provide me only the answers. its a single ques with a & b