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

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

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–2h1 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.

Testing

SIMILAR QUESTIONS

Q1

 

A body, moving in a straight line, with an initial velocity u and a constant acceleration a, covers a distance of 40 m in the 4th second and a distance of 60 m in the 6th second. The values of u and a respectively are    

 

Q2

A simple pendulum is hanging from the ceiling of a compartment of a train. It is observed that the string is inclined towards the rear of the train. If follows that the train is

Q3

 

The displacement of a body from a reference point, is given by

          

where x is in metres and t in seconds. This shown that the body is

Q4

A car moving at a speed v is stopped in a certain distance when the brakes produce a deceleration a. If the speed of the car was nv, what must be the deceleration of the car to stop it in the same distance and in the same time?

Q5

 

A car is moving at a certain speed. The minimum distance over which it can be stopped is x. If the speed of the car is doubled, what will be the minimum distance over which the car can be stopped during the same time? 

 

Q6

A ball is thrown vertically downward with a velocity u from the top of a tower. It strikes the ground with a velocity 3u. The time taken by the ball to reach the ground is given by

Q7

 

The distance x covered by a body moving in a straight line in time t is given by   

            

The acceleration of the body will vary as

Q8

Ball is called in a straight line with a speed of 5 ms–1 towards a bigger ballB lying 20 m away. After collision with ball B, full A retraces the path and reaches its starting point with a speed of 4 ms–1. What is the average velocity of ball A during the time interval 0 to 6 s?