The value of the variable that makes the expression on LHS and RHS equal is called the________of an equation.

solution<

1 thought on “The value of the variable that makes the expression on LHS and RHS equal is called the________of an equation.<br /><br />solution<”

1. Answer:

   Given:-

   Initial velocity ,u = 5m/s

   Final velocity ,v = 0m/s

   Acceleration due to gravity ,g= 10m/s²

   To Find:-

   Maximum height attained by stone ,h

   Total time taken to reach maximum height ,t

   Solution:-

   ⠀⠀⠀⠀⠀According to the Question

   It is given that the stone is thrown vertically upward direction . So the acceleration due to gravity on stone is negative.

   → g = -10m/s²

   Now, firstly we calculate the maximum height attained by the stone . Using 3rd equation of motion

   v² = u²+ 2gh

   where,

   v denote final velocity

   u denote initial velocity

   g denote acceleration due to gravity

   h denote maximum height attained by stone

   Substitute the value we get

   :\implies:⟹ 0² = 5² + 2(-10) × h

   :\implies:⟹ 0 = 25 -20h

   :\implies:⟹ -25 = -20h

   :\implies:⟹ 25 = 20h

   :\implies:⟹ 25/20 = h

   :\implies:⟹ h = 25/2

   :\implies:⟹ h = 1.25 m

   Hence, the maximum height attained by stone is 1.25 metres.

   Now , calculating the time taken to reach maximum height .

   Using 1st equation of motion

   v = u + gt

   Substitute the value we get

   :\implies:⟹ 0 = 5 + (-10) × t

   :\implies:⟹ -5 = -10×t

   :\implies:⟹ 5 = 10 × t

   :\implies:⟹ 5/10 = t

   :\implies:⟹ t = 5/10

   :\implies:⟹ t = 0.5s

   Hence, the time taken to reach maximum height is 0.5 second .

   _________________________________

   Reply