The reaction time of Boris is t(r), so before that, Boris will not have jumped. Thus, H(b)(t) = 0
The vertical displacement will simply be
D(t) = H(a)(t)
Explanation :
When a ball is tossed from an upper storey window off a building, the height of the object as a function of time is given by :

Here, u = 8 m/s
The ball strikes at an angle of 20 degrees below the horizontal. We need to find the time taken by the ball to reach a point 10 meters below the level of launching such that, h (t) = 10 m and a = g = 9.8



After solving the above equation, t = 0.855 seconds
So, the ball will take 0.855 seconds to reach a point 10 m below the level of launching. Hence, this is the required solution.
Answer:
t = 186.2 μs
Explanation:
Current in LR series circuit
----(1)
steady current = I_{s} = V/R
time constant = τ =
= 0.268 ms
magnetic energy stored in coil = 
rate at which magnetic energy stored in coil=
----(2)
rate at which power is dissipated in R:
---(3)
To find the time when the rate at which energy is dissipated in the coil equals the rate at which magnetic energy is stored in the coil equate (2) and (3)
[/tex]I=\frac{L}{R}\frac{dI}{dt}[/tex]----(4)
differentiating (1) w.r.to t


---(5)
substituting (5) in (4)
----(6)
equating (1) and (6)




L= 4.3 mH
R= 16 Ω
t = 186.2 μs