Question

a particle moves on a coordinate line with acceleration d^2s/dt^2=60sqrt(t)-21sqrt(t) subject to the conditions that ds/dt=15 and s=14 when t=1. Find the velocity v=ds/dt in terms of t and the positions of S in terms of T

Answer 1

Integrate the acceleration function to get the velocity function, then integrate the velocity function to get the position function.