A bus decreases its speed from 80 km per hour to 60 km per hour in 5 seconds find the acceleration of the bus?

Mathematics
1

a bus decreases its speed from 80 km per hour to 60 km per hour in 5 seconds find the acceleration of the bus

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A bus decreases its speed from 80 km per hour to 60 km per hour in 5 seconds. Find the acceleration of the bus.

Answer: To find the acceleration of the bus, we need to follow these steps:

  1. Convert the speeds from km/h to m/s:

    • Initial speed, u = 80 km/h
    • Final speed, v = 60 km/h

    To convert km/h to m/s, we use the conversion factor 1 \text{ km/h} = \frac{1}{3.6} \text{ m/s}.

    So,
    u = 80 \times \frac{1}{3.6} = \frac{80}{3.6} \approx 22.22 \text{ m/s}

    v = 60 \times \frac{1}{3.6} = \frac{60}{3.6} \approx 16.67 \text{ m/s}

  2. Use the formula for acceleration:
    a = \frac{v - u}{t}
    where:

    • a is the acceleration,
    • v is the final velocity (16.67 m/s),
    • u is the initial velocity (22.22 m/s),
    • t is the time taken (5 seconds).

    Plugging in the values, we get:
    a = \frac{16.67 - 22.22}{5}

  3. Calculate the acceleration:
    a = \frac{-5.55}{5} = -1.11 \text{ m/s}^2 ]

The negative sign indicates that the bus is decelerating. Therefore, the acceleration of the bus is -1.11 \text{ m/s}^2.