Answer
427.8k+ views
Hint:The equations which established the relation between initial velocity, final velocity, time, acceleration, and displacement are known as the kinematic equation of motion. On releasing the berry from the tree it initially has upward velocity.
Formula used:
Displacement of the berry, ${\rm{S}}\;{\rm{ = }}\;{\rm{ut + }}\dfrac{1}{2}{\rm{a}}{{\rm{t}}^2}$
Here S is displacement, u is initial velocity, a is acceleration due to gravity, t is the time period.
Complete step by step answer:
According to given data,
Speed of NCC cadets $ = \;6{\rm{km/h = }}\,{\rm{1}}{\rm{.66m/s}}$
Distance of bird from the ground, S $ = 12.1{\rm{m}}$
Berry dropped by the bird have initial velocity, $u = \;0$
Acceleration due to gravity $a\; = \;g\; = 9.8m/{s^2}$
Now by using the equation of motion, we can find the time t taken by berry to reach the ground,
Thus we have;
${\rm{S}}\;{\rm{ = }}\;{\rm{ut + }}\dfrac{1}{2}{\rm{a}}{{\rm{t}}^2}$
By putting all the values in this equation we get,
$ \Rightarrow \;12.1\; = 0\; + \dfrac{1}{2} \times 9.8{{\rm{t}}^2}$
$ \Rightarrow \;{{\rm{t}}^2}\; = \dfrac{{12.1}}{{4.9}}\; = 2.46$
$ \Rightarrow \;{\rm{t}}\; = \;1.57s$
Also the distance move by the cadets, ${\rm{d}} = {\rm{v}} \times \;{\rm{t}}$
$ \Rightarrow \;{\rm{d = 1}}{\rm{.66}} \times {\rm{1}}{\rm{.57 = 2}}{\rm{.6m}}$
Thus, the cadet who is 2.6m away from the tree will receive the berry on his uniform.
Note:The acceleration due to the gravity of a body is always directed downwards toward the center of the earth, whether a body is projected upwards or downwards. When a body is falling towards the earth, its velocity increases, g is positive When a body is projected upwards, its velocity decreases, g is negative.
Formula used:
Displacement of the berry, ${\rm{S}}\;{\rm{ = }}\;{\rm{ut + }}\dfrac{1}{2}{\rm{a}}{{\rm{t}}^2}$
Here S is displacement, u is initial velocity, a is acceleration due to gravity, t is the time period.
Complete step by step answer:
According to given data,
Speed of NCC cadets $ = \;6{\rm{km/h = }}\,{\rm{1}}{\rm{.66m/s}}$
Distance of bird from the ground, S $ = 12.1{\rm{m}}$
Berry dropped by the bird have initial velocity, $u = \;0$
Acceleration due to gravity $a\; = \;g\; = 9.8m/{s^2}$
Now by using the equation of motion, we can find the time t taken by berry to reach the ground,
Thus we have;
${\rm{S}}\;{\rm{ = }}\;{\rm{ut + }}\dfrac{1}{2}{\rm{a}}{{\rm{t}}^2}$
By putting all the values in this equation we get,
$ \Rightarrow \;12.1\; = 0\; + \dfrac{1}{2} \times 9.8{{\rm{t}}^2}$
$ \Rightarrow \;{{\rm{t}}^2}\; = \dfrac{{12.1}}{{4.9}}\; = 2.46$
$ \Rightarrow \;{\rm{t}}\; = \;1.57s$
Also the distance move by the cadets, ${\rm{d}} = {\rm{v}} \times \;{\rm{t}}$
$ \Rightarrow \;{\rm{d = 1}}{\rm{.66}} \times {\rm{1}}{\rm{.57 = 2}}{\rm{.6m}}$
Thus, the cadet who is 2.6m away from the tree will receive the berry on his uniform.
Note:The acceleration due to the gravity of a body is always directed downwards toward the center of the earth, whether a body is projected upwards or downwards. When a body is falling towards the earth, its velocity increases, g is positive When a body is projected upwards, its velocity decreases, g is negative.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)