A Bullet Is Fired Vertically Upwards With An Initial Velocity Of 50 Ms–1. It Covers A Distance h1 during The First Second And A Distance h2 distance The Last 3 Seconds Of Its Upward Motion. If g = 10ms–2, h1 and h2 will Be Related As

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Question

A bullet is fired vertically upwards with an initial velocity of 50 ms–1. It covers a distance h1 during the first second and a distance h2 distance the last 3 seconds of its upward motion. If g = 10ms–2, h1 and h2 will be related as

Solution

Correct option is

 

The total time taken by the bullet to reach the highest point (where its velocity becomes zero) is given by 0 = u – gt or t = u/g = 50/10 = 5 s. The distance it covers in the first 1 seconds of its upward motion is

        

           

           . 

Now, the velocity of the bullet at the end of first 2 seconds is . This is the initial velocity for the last 3 seconds of upward motion. The distance covered in the last 3 seconds is,

        

           . 

Thus        h1 = h2.

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