The acceleration of a particle at time t moving along the x-axis is given by: a=4e^(2t). At the instant when t=0, the particle is at the point x=2 moving with velocity v=-2. The position of the particle at t=1/2 is...
Answer: e-1
Please explain how to get to this answer.

Question

The acceleration of a particle at time t moving along the x-axis is given by: a=4e^(2t).  At the instant when t=0, the particle is at the point x=2 moving with velocity v=-2.  The position of the particle at t=1/2 is...
Answer: e-1
Please explain how to get to this answer.

mathmale · Answer

The acceleration of a particle at time t moving along the x-axis is given by: a=4e^(2t), or $$a(t)=4e ^{2t}$$