Question

A plane dives at 31⁰ to the horizontal and releases a package at an altitude of...

A plane dives at 31⁰ to the horizontal and releases a package at an altitude of 200 m. If the load is in the air for 4.00 s, find: (a) the speed of the plane; (b) the horizontal distance traveled by the package after it is released.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Let be the speed of the plane.

Given time of flight,

Given launch height,

Vertical component of launch velocity,

Horizontal component of launch velocity,

Consider the vertical motion of the package

Use formula

(a) ANSWER :

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

(b) the horizontal distance traveled by the package after it is released.

Consider the horizontal motion of the package

There is no acceleration in horizontal direction, so horizontal velocity remains constant.

Horizontal velocity = Horizontal distance/Time of flight

ANSWER :

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

Add a comment
Know the answer?
Add Answer to:
A plane dives at 31⁰ to the horizontal and releases a package at an altitude of...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • E. 90 31° 23. A rescue airplane is diving at an angle of 370 below the...

    E. 90 31° 23. A rescue airplane is diving at an angle of 370 below the horizontal with a speed of 250 m/s. It releases a survival package when it is at an altitude of 600 m. If air resistance is ignored, the horizontal distance of the point of impact from the plane at the moment of the package's release is A. 2.80团103 m. B. 720 m. C. 6.80 2 103 m. D. 420 m. E. 5.50 103 m.

  • An airplane is flying horizontally with a constant velocity of 200 m/s at an altitude of...

    An airplane is flying horizontally with a constant velocity of 200 m/s at an altitude of 5200 m when it drops a package. How long does it take for the package to reach the ground? ______s What is the distance between the airplane and the package when the package hits the ground? Ignore air resistance. ______m How far ahead of the target along the x direction should the plane be when it releases the package? _______m

  • A plane, diving with constant speed at an angle of 40.8° with the vertical, releases a...

    A plane, diving with constant speed at an angle of 40.8° with the vertical, releases a projectile at an altitude of 606 m. The projectile hits the ground 5.93 s after release. (a) What is the speed of the plane? (b) How far does the projectile travel horizontally during its flight? What were the magnitudes of the (c) horizontal and (d) vertical components of its velocity just before striking the ground? (State your answers to  (d) as positive numbers.)

  • A plane, diving with constant speed at an angle of 48.6° with the vertical, releases a...

    A plane, diving with constant speed at an angle of 48.6° with the vertical, releases a projectile at an altitude of 605 m. The projectile hits the ground 6.47 s after release. (a) What is the speed of the plane? (b) How far does the projectile travel horizontally during its flight? What were the magnitudes of the (c) horizontal and (d) vertical components of its velocity just before striking the ground? (State your answers to (c) and (d) as positive...

  • A plane, diving with constant speed at an angle of 51.9° with the vertical, releases a...

    A plane, diving with constant speed at an angle of 51.9° with the vertical, releases a projectile at an altitude of 715 m. The projectile hits the ground 5.60 s after release. (a) What is the speed of the plane? (b) How far does the projectile travel horizontally during its flight? What were the magnitudes of the (c) horizontal and (d) vertical components of its velocity just before striking the ground? (State your answers to (c) and (d) as positive...

  • (Figure 1)A relief airplane is delivering a food package to a group of people stranded on...

    (Figure 1)A relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. The airplane flies horizontally with constant speed of 462 km/hour at an altitude of 575 m. The positive x and y directions are defined in the figure. For all parts, assume that the "island" refers to the...

  • A plane, diving with constant speed at an angle of 44.3° with the vertical, releases a...

    A plane, diving with constant speed at an angle of 44.3° with the vertical, releases a projectile at an altitude of 667 m.The projectile hits the ground 6.80 s after release. (a) What is the speed of the plane? (b) How far does the projectile travel horizontally during its flight? What were the magnitudes of the (c) horizontal and (d) vertical components of its velocity just before striking the ground? (State your answers to (c) and (d) as positive numbers.)

  • A package is dropped from the plane which is flying with a constant horizontal velocity of...

    A package is dropped from the plane which is flying with a constant horizontal velocity of vA = 200 ft/s. Suppose that h = 1550 ft . (Figure 1) Part A Determine the normal component of acceleration at the moment the package is released at A, where it has a horizontal velocity of v4 = 200 ft/s Express your answer to three significant figures and include the appropriate units. µA Value Units (an)A = Request Answer Submit Figure 1 of...

  • A package of mass m = 2.00 kg is released from rest at the top of...

    A package of mass m = 2.00 kg is released from rest at the top of an inclined plane as seen in the figure. The package starts out at heighth = 0.200 m above the top of the table, the table height is H = 2.00 m, and 0 = 50.0° R- (a) What is the acceleration (in m/s) of the package while it slides down the incline? 7.50 m/s² (b) What is the speed (in m/s) of the package...

  • A package is dropped from a helicopter that hovers at a constant altitude. If it takes...

    A package is dropped from a helicopter that hovers at a constant altitude. If it takes 7.0 s before the package strikes the ground, how high above the ground, in m was the package when it was released? Neglect air resistance. A. 1.7 x 10^2 B. 2.4 x 10^2 C. 7.0 x 10^1 D. 4.1 x 10^2 E. 5.1 x 10^1

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT