Projectile Motion, speed of ball

In summary, the conversation is discussing how to calculate the speed of a ball when it is shot at a goal from a horizontal distance of 5.3m. The ball is released at an angle of 48 degrees and 1.2m below the height of the goal. There is some confusion about the given information and equations are provided to help calculate the speed.
  • #1
Lara
I can't seem to get the right answer to this question so if someone could guide me through, please?

A ball is shot at a goal from a horizontal distance of 5.3m. The ball is released at an angle of 48 degrees to the horizontal and 1.2m below the height of the goal. What is the ballls speed?

thankyou
 
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  • #2
Did you give us all the information you have? I see no way, with the given information, to specify a single speed. Do you want the speed required to hit the goal?
 
  • #3
Assuming that you only need the projectile to be at the goal (5.3,1.2) you can get the speed with the following equations.

1. The components of the speed are Vx=VCosΘ and
Vy=VSinΘ

V is the speed, Θ=48deg

2. x(t) = Vxt with the condition that x(T)=5.3

3. y(t)= -gt2/2 + Vyt + Y with conditions y(0)=0 and Y(T)=1.2

This should be a nice start for you.
 

1. What is projectile motion?

Projectile motion is the motion of an object through the air when it is given an initial velocity and then allowed to move freely under the influence of gravity. It follows a curved path known as a parabola.

2. How is the speed of a ball in projectile motion calculated?

The speed of a ball in projectile motion is calculated using the formula v = v0 + at, where v is the final velocity, v0 is the initial velocity, a is the acceleration due to gravity (9.8 m/s2), and t is the time the object is in motion.

3. Does the mass of the ball affect its speed in projectile motion?

No, the mass of the ball does not affect its speed in projectile motion. The speed is determined by the initial velocity and the force of gravity, which is constant for all objects regardless of their mass.

4. How does the angle of projection affect the speed of a ball in projectile motion?

The angle of projection affects the speed of a ball in projectile motion by determining the vertical and horizontal components of its velocity. The maximum speed is achieved when the angle of projection is 45 degrees, as this results in an equal distribution of the initial velocity in the vertical and horizontal directions.

5. What factors can affect the speed of a ball in projectile motion?

The speed of a ball in projectile motion can be affected by the initial velocity, angle of projection, air resistance, and the force of gravity. Other factors such as the shape and surface of the ball can also have a small impact on its speed.

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