Equations of Motion for Beginners: Simple Solutions

[Just Myry]

Homework Statement

The acceleration of a particle is defined by the relation a = kt2. (a) Knowing that v = -8 m/s when t = 0 and that v = +8 m/s when t = 2 s, determine the constant k. (b) Write the equations of motion (define position as a function of time, x(t)), knowing also that x = 0 when t = 2 s.

Relevant Equations

a=kt2
v1=8 m/s
t1=0
v2= + 8 m/s
tw= 2 s

I am beginner. Can anybody do that? I need solution. Thanks so much!

 

[anuttarasammyak]

Have you already learned calculus ?
$$a=\frac{dv}{dt}=kt^2$$
$$v(0)=-8$$
$$v(2)=8$$