Question

एक मिसाइल जमीन से ऊपर की और दागी जाती है वह x मीटर की दूरी t सेकंड में तय करती है जहाँ x=100t-(25/2)t^2 हो तो मिसाइल की अधिकतम ऊँचाई क्या होगी​

Answer 1

Answer:

I don't have understand this question please can you explain me please

Answer 2

Answer:

Height, x = 200 meters

Explanation:

The height followed by the missile as a function of time is given by :

$x=100t-\dfrac{25}{2}t^2$............(1)

For maximum height,

$\dfrac{dx}{dt}=0$

$\dfrac{d(100t-\dfrac{25}{2}t^2)}{dt}=0$

$100-25t=0$

t = 4 seconds

Put the value of t in equation (1) as :

$x=100(4)-\dfrac{25}{2}4^2$

x = 200 meters

So, the maximum height of the missile is 200 meters. Hence, this is the required solution.