A person of mass $m$ stands on roller skates facing a wall. After pushing against the wall with a constant force $F$ he moves away, reaching speed $v$ after a distance $d$. What is the work done by $F$?

The graph shows the path followed by the stone, until just before hitting the ground, in the absence of the air resistance.

Draw the path of the stone in the presence of an air resistance force opposite the velocity and proportional to the speed.

For given graph state and explain motion without air resistance and with air resistance. And why it's happening?

For the given information, determine the power generated by the helicopter. ( in W)

$F= {\mathrm{\pi \rho v}}^2{\mathrm{R}}^2$

$\rho = 1.2 kg/m^3$

$m=0.30 kg$

$R = 0.25 m$

$v = 3.5 m/s$

If the object moving in the horizontal direction with an acceleration $29.4 m/s^2$, what is the velocity after time $0.95s$? (in m/s)

Here initial velocity is zero.

If the particle is moving in the horizontal direction, then what is the work done by the particle? (in J)

Force exerted on the particle is $11.75 N$ And travelled distance is $12 m$

It is proposed to launch projectiles of mass $8.0 \mathrm{kg}$ from satellites in space in order to destroy an incoming missile. The launcher exerts a force on the projectile that varies with the time according to the graph.The impulse delivered to the projectile $\mathrm{J}=2\times {10}^3\mathrm{Ns}$ and the projectile leaves the launcher in $0.2 sec.$

Estimate the area under the curve.

It is proposed to launch projectiles of mass $8.0 \mathrm{kg}$ from satellites in space in order to destroy an incoming missile. The launcher exerts a force on the projectile that varies with the time according to the graph.The impulse delivered to the projectile= $\mathrm{J}=2\times {10}^3\mathrm{Ns}$ and the projectile leaves the launcher in $0.2 sec.$

Estimate the average acceleration of the projectile.