A horse runs with a constant acceleration of a = 0.2 m/s^2 from rest for 15 seconds until it reaches maximum speed. Then, for the next 20 seconds, it travels with a uniform maximum speed. Finally, the horse decelerates uniformly for 10 seconds before coming to rest. Determine the total distance traveled by the horse

The acceleration of a particle moving horizontally under rectilinear motion is defined by the relation  a=8.9t2-5.1t where a is in ft/s2 and t is in s. Initially, the particle is at rest and started at x=14.3 ft. Determine the position of the particle at t=4.3s. Round off only on the final answer expressed in 3 decimals. Indicate appropriate units.

This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. In a boat race, boat A is leading boat B by 50 m and both boats are traveling at a constant speed of 207 km/h. At t = 0, the boats accelerate at constant rates. Know that when B passes A, t = 8 s and vA = 225 km/h.   Determine the acceleration of A. (You must provide an answer before moving on to the next part.)   The acceleration of A is m/s2.?   Note: please show step by step solution. Hence, double check the solution. For correction purposes!. I require  handwritten working out please!. Kindly, please meticulously, check the image for conceptual understanding and for extra information purposes!. Also on occasions, I receive wrong answers!!. Please go through the question and working out step by step when you finish them. Appreciate your time!.

A particle travels along a straight-line path such that in 4 s it moves from an initial position S_C=-8 m to a position S_Bd=+3 m. Then in another 5 s it moves from S_B to S_C=-6 m. Determine the particle's average velocity and average speed during the 9-s time interval.