if a baseball is thrown 30 m/s backwards from a truck moving 50 m/s, how fast will the ball strike the glove of a ground based catcher?
A basketball is rolled across a gym floor, making 17 revolutions in 3.0 seconds. If the diameter of a basketball is 24 centimeters, the ball rolls approximately
430 centimeters
To determine the speed at which the baseball strikes the glove of a ground-based catcher, we need to apply the principles of relative motion. Here's how you can get the answer:
Step 1: Identify the velocities involved:
- The baseball is thrown backward from the truck at a speed of 30 m/s (considered negative velocity since it is in the opposite direction).
- The truck is moving forward at a speed of 50 m/s.
Step 2: Calculate the relative velocity:
Since the baseball is thrown backward from the moving truck, we need to find the relative velocity between the baseball and the ground-based catcher. The relative velocity is the sum of the velocities of the baseball and the truck.
To calculate the relative velocity, you subtract the velocity of the truck from the velocity of the baseball (since they are moving in opposite directions):
Relative Velocity = Velocity of Baseball - Velocity of Truck
Relative Velocity = (-30 m/s) - (50 m/s)
Relative Velocity = -80 m/s
Note: The negative sign indicates that the baseball is moving in the opposite direction of the truck.
Step 3: Determine the speed at which the ball strikes the glove:
Since the negative sign just indicates the direction, we need to consider the magnitude (absolute value) of the relative velocity. Thus, the speed at which the ball strikes the glove will be 80 m/s.
Therefore, the baseball will strike the glove of a ground-based catcher at a speed of 80 m/s.