To determine the distance (d) traveled by a body given its speed (S) and the time (t). Use the equation,
S = d / t ; d = S x t
Substituting the known values to the equation,
d = (4 m/s ) x (40 s) = 160 m
Thus, the person will travel 160 meters in 40 seconds.
Answer: Option (1) is the correct answer.
Explanation:
The vertical distance between crest or trough from the origin or equilibrium point is known as amplitude of a wave.
In the given pictures, a wave that shows maximum height from the origin will have the maximum amplitude. Whereas the wave that shows minimum height from the origin will have the smallest amplitude.
Thus, we can conclude that waves shown in option 1 will have the smallest amplitude.
2.25 m/s² of acceleration is required to increase the speed of a car from 26 mi/h to 51 mi/h in 5 seconds.
To find the answer, we need to know about the acceleration.
<h3>What is acceleration?</h3>
- Acceleration is given as the ratio of velocity to time.
- Mathematically, acceleration= velocity/time.
<h3>What is the acceleration required to increase the speed of a car from 26 mi/h to 51 mi/h in 5 seconds?</h3>
- Here change in velocity of the car is 51-26= 25 mi/h.
- As 1 mi/h = 0.45 m/s. So 25mi/h = 11.25 m/s.
- Acceleration= (11.25m/s)/5s = 2.25 m/s².
Thus, we can conclude that the constant acceleration is 2.25 m/s².
Learn more about the acceleration here:
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In a force diagram set-up, we name the angle of inclination theta, g as the acceleration due to gravity. In this case, the forces acting on the box going down is the weight itself impeded by the friction between the box and the inclined plane.
The weight of the box is expressed as mg sin theta
The frictional force is expressed as the normal force times the coefficient of friction that is expressed as mu g cos theta.
By Newton's second law of motion, F = ma = mg sin theta - mu g cos theta
Thus, a = g (sin theta - u cos theta