The number of oscillations of the toy in a second is 1.25.
<h3>What is frequency?</h3>
- This is the number of complete oscillation of an object is a given period.
The given parameter:
- Frequency of the toy, F = 1.25 Hz
The frequency of an object is calculated as follows;
where;
- n is the number of oscillations
- t is the time of motion
The number of oscillations of the toy in a second is calculated as follows;
Learn more about frequency here: brainly.com/question/10728818
First we have to calculate the acceleration of the car,
Here, u is initial velocity of the car and its value is given 12.2 m/s and v is final velocity of the car and it comes to stop, so its value zero.
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As during the braking the acceleration is constant, from the kinematic equation,
Here, s is the distance traveled by the car during braking and its value is given 36. 5 m.
Substituting all the values in kinematic equation, we get
Therefore, car will stop after 5.98 s.
The position of the particle is given by:
x(t) = t³ - 12t² + 21t - 9
Differentiate x(t) with respect to t to find the velocity x'(t):
x'(t) = 3t² - 24t + 21
Differentiate x'(t) with respect to t to find the acceleration x''(t):
x''(t) = 6t - 24
It would be 27.5 miles per gallon
The Answer is C. the distance light travels in a year
