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A bullet fired from a rifle travels at a...

A bullet fired from a rifle travels at an average speed of 2520 km/hr. It hits the target after 0.2 seconds. How far (in metre) is the target from the rifle?

A

70

B

140

C

100

D

200

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we can follow these instructions: ### Step 1: Convert the speed from km/hr to m/s The speed of the bullet is given as 2520 km/hr. To convert this speed into meters per second (m/s), we use the conversion factor where 1 km/hr is equal to \( \frac{1}{3.6} \) m/s. \[ \text{Speed in m/s} = \frac{2520 \text{ km/hr}}{3.6} = 700 \text{ m/s} \] ### Step 2: Identify the time taken The time taken for the bullet to hit the target is given as 0.2 seconds. \[ \text{Time} = 0.2 \text{ seconds} \] ### Step 3: Use the formula for distance The formula for distance is given by: \[ \text{Distance} = \text{Speed} \times \text{Time} \] ### Step 4: Calculate the distance Now, we can substitute the values we have into the distance formula: \[ \text{Distance} = 700 \text{ m/s} \times 0.2 \text{ s} = 140 \text{ meters} \] ### Conclusion The target is 140 meters away from the rifle. ---
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