Question
Asked Feb 27, 2020
2 views
Flg. 4-51 Problem 91.
A projectile is launched with an initial speed of 30 m/s at an
angle of 60° above the horizontal. What are the (a) magnitude and
(b) angle of its velocity 2.0 s after launch, and (c) is the angle above
or below the horizontal? What are the (d) magnitude and (e) angle
of its velocity 5.0 s after launch, and (f) is the angle above or below
105
the horizontal?
help_outline

Image Transcriptionclose

Flg. 4-51 Problem 91. A projectile is launched with an initial speed of 30 m/s at an angle of 60° above the horizontal. What are the (a) magnitude and (b) angle of its velocity 2.0 s after launch, and (c) is the angle above or below the horizontal? What are the (d) magnitude and (e) angle of its velocity 5.0 s after launch, and (f) is the angle above or below 105 the horizontal?

fullscreen
check_circle

Expert Answer

Step 1

Given information:

Initial velocity of the projectile (u) = 30 m/s

The angle at which it is launched (θ) = 600

Step 2

We can write the components of the velocity as follows:

x-component (ux) = ucos (60) = 15 m/s

y-component (uy) = usin (60) = 25.93 m/s

We know that in projectile motion the x-component of the velocity remains un effected by the gravitational force. But the y-component of the velocity keeps on changing. The y-component of velocity in the varies as follows:

Physics homework question answer, step 2, image 1

Therefore, the y-component of the velocity in after 2 s is given by:

Physics homework question answer, step 2, image 2

Step 3

The magnitude of the velocity after 2 s is given by:

Physics homework question answer, step 3, image 1

The angle of velocity with the horizontal is given by:

Physics homework question answer, step 3, image 2

Therefore, the velocity vector makes an angle of 22.970 with the horizontal.

Since the angle is +ve we can say that the angle is made above the horizontal.    

...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Each channel of a stereo receiver is capable of an average power output of 100W into an 8 ohms louds...

A: In the question we need to find the value of rms voltage and the rms current.  The formula for power...

question_answer

Q: Please solve this question step by step to help me understand better. Thank you.

A: The motion of airplane can be considered to be similar to that of a projectile, equations for which ...

question_answer

Q: PRACTICE IT Use the worked example above to help you solve this problem. An pickup truck with mass 1...

A: Given information: Mass of the car (mc) = 9.48 ×102 kg The initial velocity of the car (vc) = 5.44 m...

question_answer

Q: One mole of an ideal gas is heated slowly so that it goes from the PV state (Pi, Vi) to (6Pi, 6Vi) i...

A: (a) The pressure of the gas is directly proportional to the volume of the gas. Therefore, the expres...

question_answer

Q: Consider the network of four resistors shown in the diagram, where R1= 2.00 Ω , R2= 5.00 Ω , R3= 1.0...

A: (A)   From the figure (1), the resistors of the resistance R1 and R2 are connected in parallel combi...

question_answer

Q: The answer to the first question is correct I can't figure out the second one.

A: Draw the free-body diagram of the car.

question_answer

Q: please help me double check your answers

A: Click to see the answer

question_answer

Q: The pilot of an airplane executes a loop-the-loop maneuver in a vertical circle. The speed of the ai...

A: (a) Pilot’s apparent weight at the lowest point,

question_answer

Q: A power station delivers 750 kW of power at 12,000V to a factory through wires with total resistance...

A: Click to see the answer