The acceleration of an object is given by the following equation

Question

a = 8t+7
where a is the acceleration in ms^-2 and t is time (secs)
when t = 0, Velocity is 4 ms^-1 and distance is 12 meters
Using Integral Calculus, find the equations for velocity, v, and distance, s, travelled

Answer 1

a = 8t+7

v = 4t^2 + 7t + C
v(0) = 4, so C = 4

s = 4/3 t^3 + 7/2 t^2 + 4t + C
s(0) = 12, so
s = 4/3 t^3 + 7/2 t^2 + 4t + 12