Question

A golf ball leaves a golf club with an initial velocity of 40.0 meters per second at an angle of 40 degrees with the horizontal

Answer 1

The question belongs to the Physics subject for High School level, dealing with the calculation of initial speed for a soccer ball in projectile motion, to travel a specific distance and height.

Step-by-step explanation:

Projectile Motion in Physics

The subject matter of this question is focused on projectile motion, which is a common topic in high school-level physics. The problem involves calculating the initial speed of a soccer ball projected at an angle to overcome a certain distance and height, reflecting a practical application of kinematic equations. To find this initial speed, one can utilize components of projectile motion to determine how far and how high the ball will travel.

For example, the equation for the horizontal distance (range) covered by a projectile is given by:

• R = (v02 × sin(2θ)) / g

where:

• R is the range,
• v0 is the initial velocity,
• θ is the launch angle,
• g is the acceleration due to gravity (9.8 m/s2).

The vertical displacement is determined by the vertical component of the initial velocity and the time the projectile is in the air, affected by gravity. Using these principles, physics students can predict the motion of projectiles in various scenarios, such as during sports or in experiments.

Answer 2

The range of the golf ball, given that it leaves the golf club with a velocity of 40.0 m/s is 160.78 meters

Hot to calculate the range of the golf ball?

The motion expressed in the question above is typically call a projectile motion.

Thus, the range of the golf ball can be calculated as illustrated below:

• Initial velocity of golf ball (u) = 30 m/s
• Angle of projection (θ) = 40 degrees
• Acceleration due to gravity (g) = 9.8 m/s²
• Range of golf ball (R) =?

`R = (u^2Sine(2\theta))/(g) \\\\R = (40^2\ *\ Sine(2\ *\ 40))/(9.8) \\\\R = 160.78\ meters`

Thus, the range of the golf ball is 160.78 meters

Complete question:

A golf ball leaves a golf club with an initial velocity of 40.0 meters per second at an angle of 40 degrees with the horizontal. What is the range of the ball?