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b) A bullet was released from a hunter's gun with an initial velocity of 8 m/s. It then accelerates at 3.5 m/s2 for 15 seconds.

Physics

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Answer

60.5 m/s\text{60.5 m/s}

513.75 m\text{513.75 m}

Step-by-step solution

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Here's how to solve question 15 (b):

b) A bullet was released from a hunter's gun with an initial velocity of 8 m/s8 \text{ m/s}. It then accelerates at 3.5 m/s23.5 \text{ m/s}^2 for 15 seconds15 \text{ seconds}.

  1. Calculate the final velocity of the bullet.

    We use the equation of motion v=u+atv = u + at, where uu is initial velocity, aa is acceleration, and tt is time.

    v=8 m/s+(3.5 m/s2)(15 s)v = 8 \text{ m/s} + (3.5 \text{ m/s}^2)(15 \text{ s}) v=8 m/s+52.5 m/sv = 8 \text{ m/s} + 52.5 \text{ m/s} v=60.5 m/sv = 60.5 \text{ m/s}

    The final velocity of the bullet is 60.5 m/s\boxed{\text{60.5 m/s}}.

  2. Calculate the distance traveled by the bullet.

    We use the equation of motion s=ut+12at2s = ut + \frac{1}{2}at^2, where ss is distance, uu is initial velocity, aa is acceleration, and tt is time.

    s=(8 m/s)(15 s)+12(3.5 m/s2)(15 s)2s = (8 \text{ m/s})(15 \text{ s}) + \frac{1}{2}(3.5 \text{ m/s}^2)(15 \text{ s})^2 s=120 m+12(3.5 m/s2)(225 s2)s = 120 \text{ m} + \frac{1}{2}(3.5 \text{ m/s}^2)(225 \text{ s}^2) s=120 m+(1.75 m/s2)(225 s2)s = 120 \text{ m} + (1.75 \text{ m/s}^2)(225 \text{ s}^2) s=120 m+393.75 ms = 120 \text{ m} + 393.75 \text{ m} s=513.75 ms = 513.75 \text{ m}

    The distance traveled by the bullet is 513.75 m\boxed{\text{513.75 m}}.

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