Question

(i) What is time of flight ?

(ii) What is time of ascent and time of decent ?

(iii) What is maximum height of a projectile ?

(iv) What is Horizontal range of a projectile ?​

Answer 1

Explanation:-

Time of asscent :-

The time taken by a projected body to reach maximum height under the influence of gravity is called time of asscent.

• Is is represented by $t_a$.

Time of descent :-

The time taken by a projected body to reach the ground from the maximum height is called time of descent.

• It is represented by $t_d$

Time of flight :-

It is defined as the time by which a projected body stay in air.

or simply when an object is projected vertically for what times it stay in air is said to be it's time interval.

• Time of flight is equal to sum of the time of asscent and descent.

$\huge \boxed {T = t_a + t_d}$

It is similar to the time taken by a body to move from point A to point B and again back to point A.

Maximum height of the projectile.

At maximum height the particle has only one velocity components that is horizontal component.

When a body is projected with certain angle . The body forms a parabolic path and that position of the parabolic path where the y component of velocity becomes 0 Then that point is called maximum height.

• it is given by a formula :-

$\huge \boxed{H = \dfrac{u^2 Sin^2 \theta }{2g}}$

Horizontal range of the projectile :-

Then maximum horizontal distance covered by a projected body is called it's range.

It is the distance travelled by the particle in time T during projectile motion .

• It's formula is given by :-

$\huge \boxed{X = \dfrac{u^2 Sin2 \theta }{g}}$

Some useful concept :-

The maximum range covered during projectile motion is in angle tan 45°.

• Tan has maximum value at 45°.