Answer:
Time, t = 13.34 seconds.
Explanation:
Given the following data;
Initial velocity, u = 85km/hr to meters per seconds = 85*1000/3600 = 23.61 m/s
Final velocity, v = 45km/hr to meters per seconds = 45*1000/3600 = 12.5 m/s
Acceleration, a = -3 km/hr/sec to meters per seconds square = -3*1000/3600 = -0.833m/s²
To find the time;
Acceleration = (v - u)/t
-0.833 = (12.5 - 23.61)/t
-0.833t = -11.11
t = 11.11/0.833
Time, t = 13.34 seconds.
Answer:

Explanation:
An object is at rest along a slope if the net force acting on it is zero. The equation of the forces along the direction parallel to the slope is:
(1)
where
is the component of the weight parallel to the slope, with m being the mass of the object, g the acceleration of gravity,
the angle of the slope
is the frictional force, with
being the coefficient of friction and R the normal reaction of the incline
The equation of the forces along the direction perpendicular to the slope is

where
R is the normal reaction
is the component of the weight perpendicular to the slope
Solving for R,

And substituting into (1)

Re-arranging the equation,

This the condition at which the equilibrium holds: when the tangent of the angle becomes larger than the value of
, the force of friction is no longer able to balance the component of the weight parallel to the slope, and so the object starts sliding down.
The students can feel the vibrations from the bleachers, but not from the drums because of the resonance.
<h3>What is the resonance?</h3>
The resonance condition occurs when the frequency of a wave matches with the resonance frequency.
The transfer of energy becomes maximum when the natural frequency matches with the frequency generated by the source.
The bleacher and student together having the frequency matching with the resonance frequency of the drum.
The bleacher and student with the bag frequency doesn't match with the resonance value of drums. Secondly, as distance increases sound intensity also decreases.
Thus, the student can feel the vibrations from the bleachers, but not from the drums because of the resonance.
Learn more about resonance.
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Since the speed of sound is very high, we consider the time period of thunder and lightening negligible.
Now, d = vt
thus, d = 343 x 16.2
thus, d = 5556.6 metres
Thus, we are 5556.6 metres away from lightening ( approximately)