A toy rocket is launched with an initial velocity of 12.0 m/s in the horizontal direction from the roof of a 30.0-m-tall building. The rocket’s engine produces a horizontal acceleration of \left(1.60 m / s^{3}\right) t, in the same direction as the initial velocity, but in the vertical direction the acceleration is g , down-ward. Ignore air resistance. What horizontal distance does the rocket travel before reaching the ground?

Solution :

The motion in the y direction.

The time taken by the toy rocket to hit the ground,

S = distance travelled = 30 m

u = 0 m/s

a =

t= time in seconds

Therefore,

t = 2.47 sec

Now motion in the x direction,

u = 12 m/sec

Upon integration 'v' with respect to 't'

Once again integrating with respect to t,

  = 0.0176+29.64

   = 29.65 m

Therefore, the toy rocket will hit the ground at 29.65 m from the building.

the temperature and the pressure affect solubility. temperature affects by changing the properties of the solvent. the increase in pressure increases solubility, the decrease in pressure decreases solubility.

0.11 m/s and 0.28 m/s should be correct