Answer:
175 m
Explanation:
In a velocity vs time graph, displacement is the area under the curve.
We can calculate this as area of a trapezoid:
A = ½ (10 m/s + 60 m/s) (5 s)
A = 175 m
Or, we can split the area into a rectangle and a triangle.
A = (10 m/s) (5 s) + ½ (60 m/s − 10 m/s) (5 s)
A = 175 m
Following your push the ball rolls down the lane at 4.2m/s. What is the net force on the ball as it rolls down the lane at the constant speed?
Answer:
The time constant is
Explanation:
From the question we are told that
The spring constant is 
The mass of the ball is 
The amplitude of the oscillation t the beginning is 
The amplitude after time t is 
The number of oscillation is 
Generally the time taken to attain the second amplitude is mathematically represented as
Here T is the period of oscillation

=> 
=> 
Generally the amplitude at time t is mathematically represented as

Here a is the damping constant so
at
, 
So

=> 
taking natural log of both sides
=>
=> 
Generally the time constant is mathematically represented as
=>
=>