When a body is projected upwards, which equation holds good? v = u - g

1.	When a body is projected upwards, which equation holds good? v = u - gt v = u - at v = u + at v = u + gt
Answer» $\LARGE{ \underline{ \purple{ \tt{Required \: answer}}}}$ Whenever a BODY is under free fall, there is two possibilities: It is moving upwards or falling downwards. So, here we are asked about motion of a body moving upwards. Body movinG upwards: Whenever a body is thrown upwards, it returns to the ground after some time because it is attracted towards the earth due to gravity. Here, Initial velocity is +u Acceleration is -g (because acceleration due to gravity will act downwards and the body is moving upwards) Let time taken be t ACCORDING to 1st equation of motion: ➝ v = u + at Putting the above values, ➝ v = u + (-g)t ➝ v = u - gt So, Correct option is: $\large{ \boxed{ \rm{v = u - gt \: (Option \: A)}}}$ Explore more !! Other two equations of motion, h = ut - 1/2 gt² v² = u² - 2gh Body moving downwards: Here, Initial velocity = -u Final velocity = -v Acceleration = -g Distance travelled = -h Equations of motion, v = u + gt h = ut + 1/2 gt² v² = u² + 2gh ⚠️ Don't GET confused in sign convection, it is according to Cartesian system....... ━━━━━━━━━━━━━━━━━━━━━━━━━━

When a body is projected upwards, which equation holds good? v = u - gt v = u - at v = u + at v = u + gt

Answer»

$\LARGE{ \underline{ \purple{ \tt{Required \: answer}}}}$

Whenever a BODY is under free fall, there is two possibilities: It is moving upwards or falling downwards. So, here we are asked about motion of a body moving upwards.

Body movinG upwards:

Whenever a body is thrown upwards, it returns to the ground after some time because it is attracted towards the earth due to gravity.

Here,

Initial velocity is +u
Acceleration is -g (because acceleration due to gravity will act downwards and the body is moving upwards)
Let time taken be t

ACCORDING to 1st equation of motion:

➝ v = u + at

Putting the above values,

➝ v = u + (-g)t

➝ v = u - gt

So, Correct option is:

$\large{ \boxed{ \rm{v = u - gt \: (Option \: A)}}}$

Explore more !!

Other two equations of motion,

h = ut - 1/2 gt²
v² = u² - 2gh

Body moving downwards:

Here,

Initial velocity = -u
Final velocity = -v
Acceleration = -g
Distance travelled = -h

Equations of motion,

v = u + gt
h = ut + 1/2 gt²
v² = u² + 2gh

⚠️ Don't GET confused in sign convection, it is according to Cartesian system.......

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