What is the angle of projection with given initial velocities?

In summary, the conversation is about finding the angle of projection for a projectile when the initial velocity at the highest point is half of the initial velocity of projection. The discussion includes clarifications about terminology, the relationship between vertical and horizontal velocity components, and the use of a triangle to solve the problem. The person asking for help initially struggles to understand the concept but eventually grasps it.
  • #1
benzun_1999
260
0
help me pls
if the initial velocity of a projectile at the highest point of trajectory is equal to half of the initial velocity of projection, calculate the angle of projection.


can anyone help me
 
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  • #2
First of all, say "speed" rather than velocity here!

Furthermore:
1) What is the vertical velocity component at the highest point of the trajectory?
2) Does the horizontal velocity component change during projectile motion?
(I have assumed that air resistance is negligible)
3) How is the initial horizontal velocity component related to the initial speed and angle of projection?

Try to formulate answers to these questions.
 
  • #3
it is not speed.
sorry for the late reply as i had exams. This question is from my physics question paper. the question is as i have written. no more info was give. only g acts here. note that at the higest point of a projectile the vertical v=0 but the horizontal velocity remain the same unaltered.
 
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  • #4
[tex] v_0^2 = v_x^2 + v_y^2 [/tex]

When [itex] v_y^2 = 0, v_x = \frac{1}{2} v_0 [/tex]

Draw yourself a triangle.
 
  • #5
whozum said:
[tex] v_0^2 = v_x^2 + v_y^2 [/tex]

When [itex] v_y^2 = 0, v_x = \frac{1}{2} v_0 [/tex]

Draw yourself a triangle.

[tex] v_m_a_x_h = 0[/tex]
[itex]v_i_n_t_i = 1/2 v_m_a_x [/tex]
v max= 0 therefore 1/2 of 0 = 0 whis not the correct answer.
 
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  • #6
at h = hmax, vy = 0, vx however is not zero.
 
  • #7
therefore u are telling that
[tex]v_m_a_x = 1/2 v_x [/tex]
which implies that
[itex] v_m_a_x = 1/2 u cos x [/tex]
i think u are right.
i made a mistakwe here only.
i knew all other questions but this one confused me a lot. anyway thank u
 
  • #8
Do you understand WHY all this happens though?
 
  • #9
no
it just didnt strike me.
moreover i was not there when sir explained this sum before the exam
 
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  • #10
So you do understand, or you dont?
Would you like me to explain why?
 
  • #11
i understand,
but i didnt understand the 2nd part of ur question
 
  • #12
Would you like me to explain anything about your problem.

Fhimta'l Su'al or no? As3dak?
 

1. What is a vector projectile?

A vector projectile is an object that is launched or thrown through the air, following a curved path due to the force of gravity. It is characterized by having both magnitude and direction, and can be represented graphically as an arrow.

2. How is the path of a vector projectile determined?

The path of a vector projectile is determined by its initial velocity, the force of gravity, and any external forces acting on it. These factors affect the object's trajectory, which can be calculated using mathematical equations such as the quadratic formula.

3. What is the difference between a vector projectile and a scalar projectile?

A vector projectile has both magnitude and direction, while a scalar projectile only has magnitude. This means that a vector projectile can change direction during its flight, while a scalar projectile will continue in a straight line.

4. How does air resistance affect a vector projectile?

Air resistance, also known as drag, can affect a vector projectile by slowing it down and changing its trajectory. This is because the object experiences a force in the opposite direction of its motion, causing it to lose velocity and change direction.

5. What are some real-life examples of vector projectiles?

Some common examples of vector projectiles include a baseball being thrown, a football being kicked, or a basketball being shot. Other examples can include a rocket being launched into space, a bullet being fired from a gun, or a javelin being thrown in a track and field event.

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