Question

Problem 11 (Landing) A container with mass $M$ kg is dropped by a helicopter from height $H$ km at time $t = 0$, with zero velocity. From the outset, its fall is controlled by gravity and the force of air resistance, $f(v) = -kv$, where $v$ is the current velocity of the container. In $\tau$ seconds after the drop, a parachute opens, resulting in an increase of air resistance up to $F(v) = -Kv$. Determine the time $T$ at which the container touches the ground, and its velocity at this moment, if $M = 200$ kg, $H = 2000$ m, $\tau = 40$ s, $k = 10$ kg/s, and $K = 400$ kg/s. Directions

          Problem 11 (Landing)
A container with mass $M$ kg is dropped by a helicopter from height $H$ km at time $t = 0$, with zero velocity. From the outset, its fall is controlled by gravity and the force of air resistance, $f(v) = -kv$, where $v$ is the current velocity of the container.
In $\tau$ seconds after the drop, a parachute opens, resulting in an increase of air resistance up to $F(v) = -Kv$. Determine the time $T$ at which the container touches the ground, and its velocity at this moment, if
$M = 200$ kg, $H = 2000$ m, $\tau = 40$ s, $k = 10$ kg/s, and $K = 400$ kg/s.
Directions

Problem 11 (Landing)
A container with mass M kg is dropped by a helicopter from height H km at time t = 0, with zero velocity. From the outset, its fall is controlled by gravity and the force of air resistance, f(v) = -kv, where v is the current velocity of the container.
In τ seconds after the drop, a parachute opens, resulting in an increase of air resistance up to F(v) = -Kv. Determine the time T at which the container touches the ground, and its velocity at this moment, if
M = 200 kg, H = 2000 m, τ = 40 s, k = 10 kg/s, and K = 400 kg/s.
Directions

Added by Amy I.

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