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A motorcycle travels 710 m at a constant speed in 87s. (i) Calculate the speed of the motorcycle. Give your answer rounded to 1 decimal place.

Physics

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Step-by-step solution

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Here's the solution for part (b):

b) (i)

  1. Identify the given values and the formula for speed.

    The distance travelled is d=710 md = 710\, \text{m}.
    The time taken is t=87 st = 87\, \text{s}.
    The formula for speed is s=dts = \frac{d}{t}.

  2. Substitute the values into the formula and calculate the speed.

    s=710 m87 ss = \frac{710\, \text{m}}{87\, \text{s}} s≈8.1609195 m/ss \approx 8.1609195\, \text{m/s}
  3. Round the answer to 1 decimal place.

    s≈8.2 m/ss \approx 8.2\, \text{m/s}

    The speed of the motorcycle is 8.2 m/s\boxed{\text{8.2 m/s}}.

    b) (ii)
    To draw the speed-time graph for the motion of the motorcycle:

    • The horizontal axis (x-axis) represents time in seconds (s).
    • The vertical axis (y-axis) represents speed in meters per second (m/s).
    • Since the motorcycle travels at a constant speed of 8.2 m/s8.2\, \text{m/s} for 87 s87\, \text{s}, the graph will be a horizontal line.
    • The line should start at (0 s,8.2 m/s)(0\, \text{s}, 8.2\, \text{m/s}) and extend horizontally to (87 s,8.2 m/s)(87\, \text{s}, 8.2\, \text{m/s}).
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