a) A particle travels along a straight line with a velocity of v=(4t-3t^2)m/s, where t is in seconds. Determine the position of the particle when t = 3.5s .s=0 when t=0.
b) A sphere is fired downwards into a medium with an initial speed of 28m/s .If it experiences a deceleration of a=(?6t)m/s2, where t is in seconds, determine the distance traveled before it stops.
c) A particle travels along a straight line with an acceleration of a=(10?0.2s) m/s2, where s is measured in meters. Determine the velocity of the particle when s = 10 m if v = 8m/s at s = 0.
d) A particle travels to the right along a straight line with a velocity v=[4/(2+s)]m/s, where s is in meters. Determine its deceleration when s = 3 m.
e) A particle travels along a straight line with a velocity of v=(19?0.05s2) m/s, where s is in meters. Determine the acceleration of the particle at s = 12m.
f) A particle travels to the right along a straight line with a velocity v=[5/(4+s)]m/s, where s is in meters. Determine its position when t= 5 s if s = 9 m when t = 0.