Mechanical Engineering - Engineering Mechanics - Discussion

Upward force only one cosθ.
Downward forces are gravitational and sinθ.

As the projectile travels through the air, the horizontal component of velocity remains constant, but the vertical component of velocity changes due to the effect of gravity, which pulls the projectile downward.

This results in the projectile travelling a greater horizontal distance before it hits the ground.

Yes, the main reason is the gravitational force of the earth.

Because when it is down to top it experienced gravity thereby decreasing the velocity or the it speed.

r=2usin^2(theta)/g. Here denominator is g so the range is inversely proportional to g. On uphill g has more influence on projectile than downhill so its range decreases.

@All.

Let me explain. Imagine you are standing on an upward inclined plane. Now when you make a projectile, you will have to overcome the peak and thus it reduces your range.

But when you are standing on a downward inclined plane, then you will be able to throw at any projectile and thus you will get a larger range.

(Imagine yourself firing an artillery gun from a mountain).

How come a range of projectile on the downward inclined plane will be more? Should it be less na?

Because speed will be more, as gravity is acting, so that distance will be covered in less time. Please, someone, clarify.

Range of projectile in a downward inclined is given by
R= (2u^2sin(a+b)cosa)/gcos^2b
Range of projectile in an upward inclined is given by
R= (2u^2sin(a-b)cosa)/gcos^2b
Where 'a' is alpha, angle made by projection with horizontal and 'b' is beta, angle made by range with horizontal.
Since the value of sin* increase from 0° to 90° and (a+b) is greater than (a-b)
The range of projectile in a downward inclined is greater than Range of the projectile in an upward inclined.

In inclined projectile

R=(u^2)/g(1(+/-)sin deta ) for up +, down -.

So,
For 45 deg ,1/(1+sin45) is 1.4.
And same, 1/(1-sin45) is 3.3.
Therefore
Down > up.

I think answer is option B because of for example a stone you through in upward direction while coming return it will be more speed as you all know this simple technique thank you all.