The acceleration of a particle as it moves along a straight line is given by a (2t 1) m/s2, where t is in seconds. suppose that s7 m and v 8 m/s when t0 part a determine the particle's velocity when t6 s express your answer to three significant figures and include the appropriate units.

 v = 158 m / s

Explanation:

In this kinematic problem they give us the acceleration of the body, the position and speed of the initial moment, let's use the definition of acceleration

       a = dv / dt

        dv = a dt

We integrate

        ∫ d v = ∫ (2t + 1) dt

        v = 2 (2t²) + 1t

We evaluate between the initial time t = 0 that has speed (vo) 8 m/s and the final time t with speed v

        v -8 = 4t2 + t

We already have the velocity formula as a function of time, let's calculate for t = 6 s

         v = 8 + 4 6² +6

         v = 158 m / s

explanation:

earth's surface is mainly heated by the absorption of infrared radiation from the sun.

evaporation occurs because molecules in liquid water are warmed ( usually by the sun) and vibrate quicker, becoming less dense and rise.

condensation occurs because molecules in water vapor are cooled and therefore vibrate more slowly thus becoming more dense and eventually fall to earth.

lines of equal barometric pressure on a weather map are called: isobars : lines of equal temp on a weather map are called: isotherms.​

answer: option c.

explanation: