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Natali5045456 [20]
3 years ago
7

The acceleration of an object (in m/s2) is given by the function a ( t ) = 7 sin ( t ) . The initial velocity of the object is v

( 0 ) = − 10 m/s. Round your answers to four decimal places.
Physics
1 answer:
jok3333 [9.3K]3 years ago
5 0

Answer:

The answer is "\bold{v(t) = -7 \cos (t) -3}"

Explanation:

Consider the function a(t) = 7 \sin (t)  speed for an Object , and V(0) = -10 \frac{m}{s} is the initial speed of the object.  Find an object-speed v(t) equation:

\to a(t) = 7 \sin(t) \\\\\to v(t) = \int  a(t) dt\\

          = 7 \int \sin (t) dt \\\\= -7 \cos(t) + C

Substituting the  t = 0 in v(t)  

\to v(0) = - 7 \cos(0) + C \\\\\to -10 = -7(1) +C \\\\\to C = -10 +7\\\\\to C= -3

after  substituting the value C:

= - 3 in v(t) = -7 \cos (t) +c  \\\\\to v(t) = -7 \cos(t) -3

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