A 7400 kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.35 m/s^2 and feels no appreciable air resistance. When it has reached a height of 585 mm, its engines suddenly fail so that the only force acting on it is now gravity. Required:
a. What is the maximum height this rocket will reach above the launch pad?
b. How much time will elapse after engine failure before the rocket comes crashing down to the launch pad, and how fast will it be moving just before it crashes?
c. Sketch ayât,,vyâât, and y - t graphs of the rocketâs motion from the instant of blast-off to the instant just before it strikes the launch pad.

Explanation:

Let us first calculate the velocity of rocket on reaching the height of 585 m

v² = u² + 2 a s

= 0 + 2 x 2.35 x 585

v = 52.43 m /s

For onward journey of rocket , initial velocity u = 52.43 m /s , acceleration = - g = - 9.8 m /s² final velocity at top point v = 0

v² = u² - 2gh

0 = 52.43² - 2 x 9.8 x h

h = 140.25 m

Total height reached

= 585 + 140.25

= 725.25 m

b )

Time to reach the top position be t₁

v = u - gt₁

0 = 52.43 - 9.8 t₁

t₁ = 5.35 s

Time to reach the ground after reaching highest point be t₂

h = ut + 1/2 g t²

u = 0 as at top point , velocity = 0

725.25 = 0 + .5 x 9.8 t₂²

t₂² = 148

t₂ = 12.16 s

Total time = t₁ + t₂

= 5.35 + 12.16

= 17.51 s .

freezing

deposition

condensation

explanation;

melting also called fusion is the process where solid becomes liquid, sublimation is the process where solid becomes gaseous without first changing to liquid, deposition involves change from gaseous to solid state, freezing involves change from liquid to solid, boiling or evaporation involves change of liquid to gaseous state, while condensation is the change from gaseous state to liquid state.

endothermic reactions involves absorption of heat from the surroundings or the environment while exothermic reactions involves loss of heat energy to the surroundings.

in this case, sublimation, evaporation and melting are endothermic reactions (gain energy from the environment) while, freezing, deposition and condensation are exothermic (loss of energy to the surroundings) reactions.