Help with two calculus 1 word problems?

anonymous

New member
Question 1:
A particle is moving along the x-axis. Its acceleration at time t is 6t - 4/t^2. Its velocity at time t=1 is 5, and its position at time t=1 is x=2. What is the position of the particle at time t?

Question 2:
A particle is moving along the x-axis with an acceleration according to the formula a(t)=6T-12, where t is measured in seconds and s(displacement) is measured in meters. If at time t=0 the position of the particle is 5 meters and the velocity is 9 meters per second. Find the displacement (is displacement the same thing as position?) when the acceleration is zero.

Thank you so much for the help. I'm not sure on how to start solving these.
 
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