Answer: 0.4 Amps
Explanation:
Voltage of battery = 24 Volts
Current I = ?
Resistance of searchlight (R)= 60ohms (Ω is the symbol for ohms)
Then, apply the formula for ohms law
Voltage = Current x resistance
i.e V = I x R
24V = I x 60Ω
I = 24V / 60Ω
I = 0.4 Amps (Amps is the unit of current)
Thus, the current in the circuit is 0.4 Amps
The person's horizontal position is given by

and the time it takes for him to travel 56.6 m is

so your first computed time is the correct one.
The question requires a bit of careful reading, and I think there may be a mistake in the problem. The person's vertical velocity
at time
is

which tells us that he would reach the ground at about
. In this time, he would have traveled

But we're told that he is caught by a net at 56.6 m, which would mean that the net cannot have been placed at the same height from which he was launched. However, it's possible that the moment at which he was launched doesn't refer to the moment the cannon went off, but rather the moment at which the person left the muzzle of the cannon a fraction of a second after the cannon was set off. After this time, the person's initial vertical velocity
would have been a bit smaller than
.
<h3><u>Answer</u>;</h3>
= F0 L ( 1 - 1/e )
<h3><u>Explanation;</u></h3>
Work done is given as the product of force and distance.
In this case;
Work done = ∫︎ F(x) dx
= F0 ∫︎ e^(-x/L) dx
= F0 [ -L e^(-x/L) ] between 0 and L
= F0 L ( 1 - 1/e )
The answer is A: can change