Mechanics Projectile Questions

In summary, the conversation discusses a particle being projected horizontally from point A to point B and finding its speed of projection and time taken to travel between the two points. The equations used to solve the problem include s = ut + 0.5at², v² = u² + 2as, v = s / t, and a = (v - u) / t. The solution involves calculating the i and j components, using Pythagorean theorem to find the distance, and then using v = s / t to find the speed and time.
  • #1
thomas49th
655
0

Homework Statement


At time t = 0 a particle is projected horizontally from a point A with position vector (5i + 30j)m. It passes through point B with position vector (17i +10.4j)m. Find:
- Its speed of projection
- Time taken to travel from A to B

Homework Equations



s = ut + 0.5at²

v² = u² + 2as

v = s / t

a = (v - u) / t

v = s / t

The Attempt at a Solution



Well from A to B the i and j components are

12i
-19.6j

i can draw a right angled triangle and use pythagerous's thyrom and calculate that the other side is 12.8 (3.s.f) - is that meters?

Have i gone the right way. I don't know what to do now. Any hints
 
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  • #2
Ahh i worked out the verticle component and got t = 2

now...
 
  • #3
then put this into v = s / t

v = 6m/s and t = 2s

yeh :)
 

FAQ: Mechanics Projectile Questions

What is a projectile?

A projectile is any object that is launched into the air and moves under the influence of gravity. Examples include a baseball being thrown, a bullet fired from a gun, or a rocket being launched.

What is the difference between a projectile and a projectile motion?

A projectile is the physical object being launched, while projectile motion refers to the path that the projectile takes as it moves under the influence of gravity. Projectile motion is a type of motion that is characterized by a constant horizontal velocity and a changing vertical velocity due to gravity.

How is the trajectory of a projectile determined?

The trajectory, or path, of a projectile is determined by its initial velocity, launch angle, and the force of gravity. These factors can be calculated using equations of projectile motion such as the range equation or the time of flight equation.

How does air resistance affect projectile motion?

Air resistance, also known as drag, can have a significant impact on the trajectory of a projectile. As the projectile moves through the air, it experiences a force in the opposite direction of its motion, which can cause it to slow down and deviate from its expected path.

What are some real-life applications of projectile motion?

Projectile motion has many practical applications in fields such as physics, engineering, and sports. For example, understanding projectile motion is crucial for designing and launching rockets, calculating the trajectory of a golf ball, or predicting the path of a thrown football.

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