Question

Define projectile motion. Give an example, Show that the path of the projectile is a parabolic
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Answer 1

Answer:

Milk supplied in the morning=56L

Milk supplied in the evening=44L

Milk supplied in a day=100L

Cost of Milk=Rs. 30/L

So, cost of 100L Milk=30×100

=3000 Rs./day.

Answer 2

Let a body is projected with speed u m/s inclined θ with horizontal line.

Then, the vertical component of u,$u_{y}$  = ucosθ

the Horizontal component of u,$u_{x}$ = usinθ

acceleration on horizontal, ax = 0

acceleration on vertical, ay = -g

Now, use formula ,

x = $u_{x} t$

x = ucosθ.t

t = x/ucosθ------(1)

Again, y = $u_{y} t +1/2a_{y} t^{2}$

y = usinθt - 1/2gt²

Put equation (1) here,

y = usinθ × x/ucosθ - 1/2g × x²/u²cos²θ

= tanθx - 1/2gx²/u²cos²θ

y= tanθ.x - $\frac{gx^{2} }{2u^{2}cos^{2}θ}$

This equation is similar to Standard equation of parabola y = ax² + bx + c her, a, b and c are constant

So, A projectile motion is parabolic motion