The acceleration function of a body moving along a coordinate line is
$$a ( t ) = - 7 \cos 2 t - 8 \sin 2 t \quad t \geq 0$$
Find its velocity and position functions at any time $t$ if it is located at the origin and has an initial velocity of $4 \mathrm {~m} / \mathrm { sec }$.

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The Answer of The acceleration function of a body moving along a coordinate line is
$$a ( t ) = - 7 \cos 2 t - 8 \sin 2 t \quad t \geq 0$$
Find its velocity and position functions at any time $t$ if it is located at the origin and has an initial velocity of $4 \mathrm {~m} / \mathrm { sec }$.

The Acceleration Function of a Body Moving Along a Coordinate a(t)=−7cos⁡2t−8sin⁡2tt≥0a ( t ) = - 7 \cos 2 t - 8 \sin 2 t \quad t \geq 0a(t)=−7cos2t−8sin2tt≥0

The Acceleration Function of a Body Moving Along a Coordinate $a ( t ) = - 7 \cos 2 t - 8 \sin 2 t \quad t \geq 0$