Question

A missile is to be used to hit an enemy target 1 km away what must be the initial velocity of the missile ?(g =10 m/s )​

Answer 1

Answer:

hope this is the answer

Answer 2

Given:

Distance (s) = 1km = 1000m

g = 10m/s

To find:

Initial velocity = u

Solution:

By using the third equation of motion for uniform acceleration,

${v}^{2} - {u}^{2} = 2as$

Here,

V is the final velocity,

u is initial velocity,

a is the acceleration,

s is distance.

In our case,the missile is hitting the enemy target. Therefore its final velocity must be zero.

v = 0

Also, here the acceleration is due to gravity which is g

Therefore, a = g.

Now, putting the values from our question to the equation we get,

${0}^{2} - {u}^{2} = 2 \times 10 \times 1000$

${u}^{2} = 20000$

$u = 141.42m {s}^{ - 1}$

Hence, the initial velocity of the missile is 141.42m/s