Physics, asked by payal6988, 6 months ago

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Answered by sharma41abhay
3

Answer:

Explanation:

Let the initial velocity = u m/s

and angle of projection = α

x and y components are as follows;-

x=ucosαt and vx=ucosα

y = usin\alpha t - 1/2gt^{2}      -(i)

Vy =usinα - gt       -(ii)

The horizontal component of speed v  

x  is always constant. So the speed is minimum when the vertical component Vy  =0

Putting this in equation 2

usinα=2g

The ball is moving at angle 45° direction of velocity of the project at time t=1s

Then tan45°  =  1  =     \frac{Vy}{Vx} = \frac{usin\alpha  - g}{ucos\alpha }

⇒ucosα=g

tanα=2

α=tan^{-1}    2  

sinα= 2/√5

cosα = 1/√5

and u =√5 g

 u = √5 × 10

 u = 10√5 m/s

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