Speed, Angle, Distance Homework HELP

In summary, the conversation discusses the initial speed and angle of a golf ball being hit, and the question of how far it will fly and how high it will rise. The professor also clarifies concepts of constant acceleration and velocity. The suggested approach is to break down the velocity into its components and use kinematics equations to solve for the distance and time. Doubling the initial speed would result in a longer distance and the vertical component of velocity is defined as positive in the upward direction.
  • #1
BraindeadX64
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Homework Statement



After a golf ball is hit it takes off with an initial speed of 20.9 m/s and at an angle of 43.5° with respect to the horizontal. The golf field is flat and horizontal.

Neglecting air resistance how far will the golf ball fly?

How high will the golf ball rise?

How far would the ball fly if the initial speed was doubled?

How much time would the ball spend in the air in this second case?

Homework Equations



Professor posted this,

Once the ball leaves the shooter's hand it is in free-fall. Objects in free-fall have constant acceleration of 9.81 m/s2 DOWNWARD at all times while they are in free-fall. In addition, they have CONSTANT velocity in the horizontal direction (remember, constant velocity means acceleration in this direction is zero). Therefore, the larger the magnitude of the vertical component of the velocity, the higher the speed.

Also, speed and velocity are not synonymous. Speed (a scalar) is the magnitude of the velocity vector. Speed only has a magnitude/size, it has no direction and cannot be negative. Velocity has both a magnitude AND a direction. When references are made to the vertical component of the velocity vector in this problem, upwards is defined as the positive y direction; therefore 10 m/s upward is greater than 10 m/s downward (but the speeds associated with these two vertical velocities are equal)!

Didn't clarify anything for me, Please help.

The Attempt at a Solution



Having trouble and don't know what to do.
 
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  • #2
Since you have an angle, you first want to break down the velocity into its component parts.
From there, use your kinematics equations.
 

What is the formula for calculating speed?

The formula for calculating speed is speed = distance / time.

How do I calculate the angle of an object?

The angle of an object can be calculated using trigonometry. The formula is angle = opposite side / adjacent side.

What is the difference between speed and velocity?

Speed is a measure of how fast an object is moving, while velocity is a measure of how fast an object is moving in a specific direction.

How do I convert between miles per hour and kilometers per hour?

To convert from miles per hour to kilometers per hour, multiply the speed in miles per hour by 1.609. To convert from kilometers per hour to miles per hour, divide the speed in kilometers per hour by 1.609.

How do I calculate the distance between two points?

The distance between two points can be calculated using the distance formula, which is √[(x2 - x1)^2 + (y2 - y1)^2]. This formula can be used for both 2-dimensional and 3-dimensional space.

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