8.- A train is travelling at 50ms^-1 when the driver applies the brakes and gives the train a constant deceleration of magnitude 0.50ms^-2 for 100 s. Describe what happens to the train Calculate the distance travelled by the train in 100 s.

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8.- A train is travelling at 50ms^-1 when the driver applies the brakes and gives the train a constant deceleration of magnitude 0.50ms^-2 for 100 s. Describe what happens to the train Calculate the distance travelled by the train in 100 s.

Answer 1

### The distance travelled by the train in 100 s is \( 4750 \, \text{m} \). ## Detailed Calculation: 1. Initial velocity \( u = 50 \, \text{m/s} \) 2. Deceleration \( a = -0.50 \, \text{m/s}^2 \) 3. Time \( t = 100 \, \text{s} \) 4. Distance \( s = ut + \frac{1}{2}at^2 \) \[ s = (50 \, \text{m/s} \times 100 \, \text{s}) + \frac{1}{2}(-0.50 \, \text{m/s}^2 \times (100 \, \text{s})^2) \] \[ s = 5000 \, \text{m} + \frac{1}{2}(-0.50 \, \text{m/s}^2 \times 10000 \, \text{s}^2) \] \[ s = 5000 \, \text{m} - 250 \, \text{m} \] \[ s = 4750 \, \text{m} \]

Answer 2

## Step 1: Identify initial conditions ### Initial velocity \( u = 50 \, \text{m/s} \), deceleration \( a = -0.50 \, \text{m/s}^2 \), and time \( t = 100 \, \text{s} \). ## Step 2: Apply the kinematic equation for distance ### Use the equation \( s = ut + \frac{1}{2}at^2 \) to calculate the distance travelled.

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8.- A train is travelling at 50ms^-1 when the driver applies the brakes and gives the train a constant deceleration of magnitude 0.50ms^-2 for 100 s. Describe what happens to the train Calculate the distance travelled by the train in 100 s.

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