Question

In: Physics

A toy rocket is launched vertically from ground level (y = 0 mm), at time t...

A toy rocket is launched vertically from ground level (y = 0 mm), at time t = 0.0 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 80 m and acquired a velocity of 20 m/s. The rocket continues to rise in unpowered flight, reaches maximum height, and falls back to the ground. The maximum height reached by the rocket is closest to:

Solutions

Expert Solution

Consider the rocket after engine burnout

Height of the rocket at engine burnout,

Speed of the rocket,

Speed of the rocket at maximum height,

-------------------------

Use formula

, where is the height covered by the rocket after engine burnout

Put a negative sign for g because even after the engine burnout rocket is going upwards and g is acting downwards.

-------------

Maximum height reached by rocket,

ANSWER:

==============================


Related Solutions

A stone with a weight of 5.25 N is launched vertically from ground level with an...
A stone with a weight of 5.25 N is launched vertically from ground level with an initial speed of 19.0 m/s, and the air drag on it is 0.261 N throughout the flight. What are (a) the maximum height reached by the stone and (b) its speed just before it hits the ground?
A projectile is ground-launched into the air at time t = 0. The initial speed is...
A projectile is ground-launched into the air at time t = 0. The initial speed is vo and the angle to the horizontal is ?. Air resistance is modeled as a drag force acting on the projectile and results in an acceleration aD = ?kv where k is a constant and v is the velocity of the projectile. If the effects of gravitational acceleration are included, a) Determine expressions for the x- and y- components of the displacement of the...
IP A fireworks rocket is launched vertically into the night sky with an initial speed of...
IP A fireworks rocket is launched vertically into the night sky with an initial speed of 42.2 m/s . The rocket coasts after being launched, then explodes and breaks into two pieces of equal mass 2.90 s later. Part A If each piece follows a trajectory that is initially at 45.0 ∘ to the vertical, what was their speed immediately after the explosion? Part B What is the velocity of the rocket's center of mass before the explosion? Part C...
A particle is uncharged and is thrown vertically upward from ground level with a speed of...
A particle is uncharged and is thrown vertically upward from ground level with a speed of 23.1 m/s. As a result, it attains a maximum height h. The particle is then given a positive charge +q and reaches the same maximum height h when thrown vertically upward with a speed of 29.3 m/s. The electric potential at the height h exceeds the electric potential at ground level. Finally, the particle is given a negative charge -q. Ignoring air resistance, determine...
a projectile is launched from ground level to the top of a cliff which is 95...
a projectile is launched from ground level to the top of a cliff which is 95 m away and 155 m high. If the projectile lands on top of the cliff 7.6 s after it is fired, what was its initial velocity? (Be careful what you assume).
A. A ball is launched from ground level, as in the simulation above, with initial velocity...
A. A ball is launched from ground level, as in the simulation above, with initial velocity components of 40.0 m/s horizontally and 42.0 m/s vertically. Use g = 10 m/s/s, and neglect air resistance. Exactly 2.00 seconds after launch, what is the angle of the ball’s velocity, measured from the horizontal? _______ degrees B. A ball is launched from ground level, as in the simulation above, with initial velocity components of 40.0 m/s horizontally and 42.0 m/s vertically. Use g...
1.) A particle is uncharged and is thrown vertically upward from ground level with a speed...
1.) A particle is uncharged and is thrown vertically upward from ground level with a speed of 20.1 m/s. As a result, it attains a maximum height h. The particle is then given a positive charge +q and reaches the same maximum height h when thrown vertically upward with a speed of 27.3 m/s. The electric potential at the height h exceeds the electric potential at ground level. Finally, the particle is given a negative charge −q. Ignoring air resistance,...
A fireworks rocket is launched vertically upward at 40 m/s. At the peak of its trajectory,...
A fireworks rocket is launched vertically upward at 40 m/s. At the peak of its trajectory, it explodes into two equal-mass fragments. One reaches the ground t1 = 2.63s after the explosion. When does the second fragment reach the ground?
a toy rocket is fired fired at rest vertically upwards and accelerates at a constant rate....
a toy rocket is fired fired at rest vertically upwards and accelerates at a constant rate. At the instant the engine cuts out, the rocket has risen to 52 m and acquired a velocity of 80 m/s. The rocket continues to rise in unpowered flight, reaches maximum height, and falls back to the ground with negligible air resistance. The speed of the rocket upon impact on the ground is closest to
A projectile is launched from ground level at angle θ and speed v_0 into a headwind...
A projectile is launched from ground level at angle θ and speed v_0 into a headwind that causes a constant horizontal acceleration of magnitude a opposite the direction of motion. Find an expression in terms of a and g for the launch angle that gives maximum range. The answer is θ = 45 - (1/2)tan^-1(a/g) The problem that I'm having is I have no idea how to get to that answer. Please do the problem and tell me where you...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT