Question

A projectile is projected with velocity (4î + 5j ) m/s. The angle of projection with x-axis is?
options
1. tan-¹ 5/4
2. tan-¹ 4/5
3. tan-¹ 3/5
4. tan-¹ 3/4​

Answer 1

Answer:

1

Explanation.

as 4î +5j is there.

then x=4 and y=5 and we know that

tan tetha =y/x

then thetha =tan-1 y/x

thetha =tan-1 5/4

Answer 2

Given:

A projectile is projected with velocity (4î + 5j ) m/s.

To find:

Angle of projection ?

Calculation:

• Let angle of projection be $\theta$.

• Now, $tan(\theta)$ will represent the trigonometric relation between the Y component and X component of velocity.

$\rm \therefore \tan( \theta) = \dfrac{v_{Y}}{v_{X}}$

$\rm \implies \tan( \theta) = \dfrac{5}{4}$

$\rm \implies \theta= { \tan}^{ - 1} \bigg( \dfrac{5}{4} \bigg)$

So, angle of projection is tan-¹(5/4).