Question

7. Two guns on a battleship simultaneously fire two shells with the same speed at enemy ships. If she
shells follow the parabolic trajectories as shown, which ship will get bit first?
Battleship
(a) A
(b)B
(c)Both at same time
(d) Need more infomation​

Answer 1

ANSWER: -

(b) B

Explanation:

Consider the time interval for the entire projectile motion is 

ttrip=trise+tfall=2trise

Here, trise is the rise time from 0 to the maximum height, and tfall is the falling time from h to 0.

In the absence of air resistance.

 

trise=tfall

h=21gt2fall

Or,

ttrip=2g2h

So, the smaller is h, smaller is ttrip 

Therefore, Ship B will get hit first.

Hence, Option B is the Correct Answer, Ship B will get hit first.

Answer 2

Answer:

Consider the time interval for the entire projectile motion is

t

trip

=t

rise

+t

fall

=2t

rise

Here, t

rise

is the rise time from 0 to the maximum height, and t

fall

is the falling time from h to 0.

In the absence of air resistance.

t

rise

=t

fall

h=

2

1

gt

2

fall

Or,

t

trip

=2

g

2h

So, the smaller is h, smaller is t

trip

Therefore, Ship B will get hit first.

Hence, Option B is the Correct Answer, Ship B will get hit first.

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