Information to Be Memorized

s(t) or x(t) means position at time t

v(t) means velocity at time t

a(t) means acceleration at time t

s’(t)=v(t)

s’’(t)=v’(t)=a(t)

s(t)=∫v(t) dt

v(t)=∫a(t) dt

Fundamental Theorem for Motion

s(a)=s(b)+∫_a^b v(t) dt

v(a)=v(b)+∫_a^b a(t) dt

displacement=∫v(t) dt

distance=∫|v(t)| dt

speed=|velocity|

speed is increasing when velocity and       acceleration have same sign

speed is decreasing when velocity and acceleration have different sign

acceleration due to gravity is -32 ft/sec²