ǁ That’s a lot of hot air! A hot-air balloonist, rising vertically with a constant speed of 5.00 m/s, releases a sandbag at the instant the balloon is 40.0 m above the ground. (See Figure 2.54 ) After it is released, the sandbag encounters no appreciable air drag. (a) Compute the position and velocity of the sandbag at 0.250 s and 1.00 s after its release. (b) How many seconds after its release will the bag strike the ground? (c) How fast is it moving as it strikes the ground? (d) What is the greatest height above the ground that the sandbag reaches? (e) Sketch graphs of this bag’s acceleration, velocity, and vertical position as functions of time. Figure 2.54 Problem 51
ǁ That’s a lot of hot air! A hot-air balloonist, rising vertically with a constant speed of 5.00 m/s, releases a sandbag at the instant the balloon is 40.0 m above the ground. (See Figure 2.54 ) After it is released, the sandbag encounters no appreciable air drag. (a) Compute the position and velocity of the sandbag at 0.250 s and 1.00 s after its release. (b) How many seconds after its release will the bag strike the ground? (c) How fast is it moving as it strikes the ground? (d) What is the greatest height above the ground that the sandbag reaches? (e) Sketch graphs of this bag’s acceleration, velocity, and vertical position as functions of time. Figure 2.54 Problem 51
ǁ That’s a lot of hot air! A hot-air balloonist, rising vertically with a constant speed of 5.00 m/s, releases a sandbag at the instant the balloon is 40.0 m above the ground. (See Figure 2.54) After it is released, the sandbag encounters no appreciable air drag. (a) Compute the position and velocity of the sandbag at 0.250 s and 1.00 s after its release. (b) How many seconds after its release will the bag strike the ground? (c) How fast is it moving as it strikes the ground? (d) What is the greatest height above the ground that the sandbag reaches? (e) Sketch graphs of this bag’s acceleration, velocity, and vertical position as functions of time.
A single-stage rocket is launched vertically from rest, and its thrust is programmed to give the
rocket a constant upward acceleration of 5.0 m/s². If the fuel is exhausted 11 s after launch,
calculate the maximum velocity Vmax and the subsequent maximum altitude h reached by the
rocket.
Answers:
Vmax
h =
i
i
m/s
3
Question 1
Select all that apply: consider an a small rocket launched straight up so that it
reaches some maximum height, and then falls back to the ground, reaching its final
velocity right before it hits the ground (i.e.Vf † 0). Assume air resistance is
negligible (no air resistance). Which of these statements are correct? Select all that
apply.
During the rockets trajectory, the acceleration of the rocket (a) = -9.81 m/s?
Over the entire course of the rockets trajectory, average acceleration is zero.
| Over the entire course of the rockets trajectory, average velocity is zero.
Over the entire course of the rockets trajectory, average speed is zero.
| The initial velocity of the rocket is equal to the final velocity of the rocket right
before it hits the ground
) The initial velocity and final velocity of the rocket (right before it hits the ground)
are equal in magnitude but opposite in direction
| The initial speed and final speed of the rocket (right before hitting the ground)
are…
A golf ball is fired straight up into the air from ground level. It reaches a maximum height at ℎ = 504 meters. Calculate the initial speed of the golf ball in meters per second.
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