The Velocity of a Particle Moving in a Straight Line $v = t \left( t ^ { 2 } + 4 \right) ^ { 4 } + 5 t$

question 19

Multiple Choice

The velocity of a particle moving in a straight line is given by $v = t \left( t ^ { 2 } + 4 \right) ^ { 4 } + 5 t$ .
Given that the distance $s = 0$ at $t = 0$ , find an expression for s in terms of t without any unknown constants.

• A) \(s ( t ) = \frac { \left( t ^ { 2 } + 4 \right) ^ { 5 } } { 10 } + \frac { 5 t ^ { 2 } } { 2 } - 102.4\)
• B) \(s ( t ) = \frac { \left( t ^ { 2 } + 4 \right) ^ { 5 } } { 10 } + \frac { 5 t ^ { 2 } } { 2 }\)
• C) \(s ( t ) = \frac { \left( t ^ { 2 } + 4 \right) ^ { 5 } } { 2 } + \frac { 5 t ^ { 2 } } { 2 } - 102.4\)
• D) \(s ( t ) = \frac { \left( t ^ { 2 } + 4 \right) ^ { 5 } } { 10 } + \frac { 5 t ^ { 2 } } { 2 } + 102.4\)
• E) \(s ( t ) = \frac { \left( t ^ { 2 } + 4 \right) ^ { 5 } } { 2 } + \frac { 5 t ^ { 2 } } { 2 } + 102.4\)

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