Parabolic Motion, *throw a ball with velocity at angle 45 6.2m above ground

In summary, using the given information, we can use kinematics equations to find the time of flight, horizontal range, maximum height, speed of the ball when it is 3m below the hill, and the angle at which the ball hits the ground. The range can be found using the equation R=1/16(Initial velocity)^2sin(angle)cos(angle). By splitting the velocity into vertical and horizontal components, we can use kinematics equations such as v=u+at and s=(u+v)t/2 to calculate the different parameters. With the help of these equations, we can solve for the desired values.
  • #1
Tommy22
1
0
Jimmy tosses a ball with a velocity of 15m/s at 45degrees to the horizontal from a hill
6.2metres above ground.
Find:
-time of flight
-horizontal range
-maximum height
-speed of the ball when its 3m below the hill
-angle at which ball hits ground

Thx alot, ANY help would be appreciated.
 
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  • #2
u should be able to develop a set of equations with your maths..
Umm... making use of uniform accelerated equations such as
v=u+at
s=(u+v)t/2
v^2-u^2 =2as
s=ut+1/2at^2
 
  • #3
you could find range with R=1/16(Initial velocity)2sin(angle)cos(angle)
 
  • #4
Tommy22 said:
Jimmy tosses a ball with a velocity of 15m/s at 45degrees to the horizontal from a hill

Split that into vertical and horizontal components(this is always constant).
Use the kinematics equations and consider vertical and horizontal motion.
 

FAQ: Parabolic Motion, *throw a ball with velocity at angle 45 6.2m above ground

What is parabolic motion?

Parabolic motion is the curved path that an object follows when it is thrown near the Earth's surface with a constant velocity and under the influence of gravity.

How does the angle of throw affect the parabolic motion of a ball?

The angle of throw affects the range and the height of the ball's trajectory. A higher angle results in a greater height and a shorter distance traveled, while a lower angle results in a lower height and a longer distance traveled.

How does the initial velocity of the ball affect its parabolic motion?

The initial velocity of the ball determines the speed at which it is thrown and affects the range of the ball's trajectory. The higher the initial velocity, the farther the ball will travel before hitting the ground.

What factors affect the maximum height reached by a ball thrown at an angle?

The maximum height reached by a ball thrown at an angle is affected by the initial velocity, the angle of throw, and the acceleration due to gravity. The maximum height is reached when the vertical component of the velocity becomes zero.

Is the motion of a ball thrown at an angle considered to be uniform or accelerated?

The motion of a ball thrown at an angle is considered to be accelerated because the velocity of the ball changes due to the constant acceleration of gravity. However, the horizontal component of the velocity remains constant, resulting in a uniform motion in that direction.

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