Velocity of a body change from 10m/s to ŕ0m/s in 2s find the acceleration and the distance in 2s pzz
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yes what is it?
Answers
Answered by
13
Given u (initial velocity) = 10m/s
v (final velocity) = 40m/s
t = 2s
a =
![\frac{v - u}{t} \\ \frac{v - u}{t} \\](https://tex.z-dn.net/?f=+%5Cfrac%7Bv+-+u%7D%7Bt%7D++%5C%5C+)
a =
![\frac{40 - 10}{2} \\ = \frac{30}{2} \\ = 15 \frac{40 - 10}{2} \\ = \frac{30}{2} \\ = 15](https://tex.z-dn.net/?f=+%5Cfrac%7B40+-+10%7D%7B2%7D++%5C%5C++%3D++%5Cfrac%7B30%7D%7B2%7D++%5C%5C++%3D+15)
acceleration is 15m/s²
Distance (s) = ut + 1/2at²
=
![10 \times 2 + \frac{1}{2} \times 15 \times {2}^{2} \\ = 20 + \frac{1}{2} \times 15 \times 4 \\ = 20 + 30 \\ = 50 10 \times 2 + \frac{1}{2} \times 15 \times {2}^{2} \\ = 20 + \frac{1}{2} \times 15 \times 4 \\ = 20 + 30 \\ = 50](https://tex.z-dn.net/?f=10+%5Ctimes+2+%2B++%5Cfrac%7B1%7D%7B2%7D++%5Ctimes+15+%5Ctimes++%7B2%7D%5E%7B2%7D++%5C%5C++%3D+20+%2B++%5Cfrac%7B1%7D%7B2%7D++%5Ctimes+15+%5Ctimes+4+%5C%5C++%3D+20+%2B+30+%5C%5C++%3D+50)
So, acceleration is 15m/s² and distance is 50m.
Hope it helps dear friend ☺️
v (final velocity) = 40m/s
t = 2s
a =
a =
acceleration is 15m/s²
Distance (s) = ut + 1/2at²
=
So, acceleration is 15m/s² and distance is 50m.
Hope it helps dear friend ☺️
Answered by
17
◢GIVEN
● INITIAL VELOCITY = u = 10 m/s
● FINAL VELOCITY = v = 40 m/s
◢AND
● TIME = t = 2 sec
______________________________
● WE KNOW THAT :-
=> v = u + at
![= > a = \frac{v - u}{t} \: \: \: ....Eq _{1} = > a = \frac{v - u}{t} \: \: \: ....Eq _{1}](https://tex.z-dn.net/?f=+%3D+%26gt%3B+a+%3D+%5Cfrac%7Bv+-+u%7D%7Bt%7D+%5C%3A+%5C%3A+%5C%3A+....Eq+_%7B1%7D)
______________[a=Acceleration]
● PLUG THE VALUE OF "v", "u" and "t"
◢WE GET
![= > a = \frac{40 - 10}{2} = \frac{30}{2} \\ \\ = > a = 15 \: \frac{m}{ {s}^{2} } = > a = \frac{40 - 10}{2} = \frac{30}{2} \\ \\ = > a = 15 \: \frac{m}{ {s}^{2} }](https://tex.z-dn.net/?f=+%3D+%26gt%3B+a+%3D+%5Cfrac%7B40+-+10%7D%7B2%7D+%3D+%5Cfrac%7B30%7D%7B2%7D+%5C%5C+%5C%5C+%3D+%26gt%3B+a+%3D+15+%5C%3A+%5Cfrac%7Bm%7D%7B+%7Bs%7D%5E%7B2%7D+%7D+)
____________________[◢ANSWER]
◢NOW
● WE HAVE ACCELERATION = a = 15 m/s²
________________________________
● DISTANCE = s
◢AND
![= > s = ut \: + \: \frac{1}{2} a {t}^{2} \\ \\ = > s = 10 \times 2 + \frac{1}{2} \times 15 \times {2}^{2} \\ \\ = > s = 20 + 30 \\ \\ = > s \: = 50 \: m = > s = ut \: + \: \frac{1}{2} a {t}^{2} \\ \\ = > s = 10 \times 2 + \frac{1}{2} \times 15 \times {2}^{2} \\ \\ = > s = 20 + 30 \\ \\ = > s \: = 50 \: m](https://tex.z-dn.net/?f=+%3D+%26gt%3B+s+%3D+ut+%5C%3A+%2B+%5C%3A+%5Cfrac%7B1%7D%7B2%7D+a+%7Bt%7D%5E%7B2%7D+%5C%5C+%5C%5C+%3D+%26gt%3B+s+%3D+10+%5Ctimes+2+%2B+%5Cfrac%7B1%7D%7B2%7D+%5Ctimes+15+%5Ctimes+%7B2%7D%5E%7B2%7D+%5C%5C+%5C%5C+%3D+%26gt%3B+s+%3D+20+%2B+30+%5C%5C+%5C%5C+%3D+%26gt%3B+s+%5C%3A+%3D+50+%5C%3A+m)
____________________[◢ANSWER]
◢HENCE,
● ACCELERATION = 15 m/s²
◢AND
● DISTANCE = 50 m
=====================================
☆
☆
● INITIAL VELOCITY = u = 10 m/s
● FINAL VELOCITY = v = 40 m/s
◢AND
● TIME = t = 2 sec
______________________________
● WE KNOW THAT :-
=> v = u + at
______________[a=Acceleration]
● PLUG THE VALUE OF "v", "u" and "t"
◢WE GET
____________________[◢ANSWER]
◢NOW
● WE HAVE ACCELERATION = a = 15 m/s²
________________________________
● DISTANCE = s
◢AND
____________________[◢ANSWER]
◢HENCE,
● ACCELERATION = 15 m/s²
◢AND
● DISTANCE = 50 m
=====================================
☆
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