A projectile was fired from the origin O of the Cartesian coordinates on the edge of a cliff with an initial velocity Vo = 60 i + 175 j. The projectile rises first and then falls into the sea at point P, as shown in the following sketch. If you know that the projectile has a time of flight of 40 seconds, that air resistance is neglected, and that the gravitational acceleration H. g = 10 m/s2: 1- Calculate the firing angle a. -D-> S wah 2- Prove that the parametric equations for the projectile motion are: 1 x(t)=60t ; y(t)=-gt +175t 3- Deduce: a- The distance D between the falling point P and the cliff. b- The height H of the cliff from the surface of the sea.
A projectile was fired from the origin O of the Cartesian coordinates on the edge of a cliff with an initial velocity Vo = 60 i + 175 j. The projectile rises first and then falls into the sea at point P, as shown in the following sketch. If you know that the projectile has a time of flight of 40 seconds, that air resistance is neglected, and that the gravitational acceleration H. g = 10 m/s2: 1- Calculate the firing angle a. -D-> S wah 2- Prove that the parametric equations for the projectile motion are: 1 x(t)=60t ; y(t)=-gt +175t 3- Deduce: a- The distance D between the falling point P and the cliff. b- The height H of the cliff from the surface of the sea.
College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter3: Vectors And Two-Dimensional Motion
Section: Chapter Questions
Problem 4WUE: A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance...
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![2.1
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Question
A projectile was fired from the origin 0 of the Cartesian
coordinates on the edge of a cliff with an initial velocity V =
60 + 175 . The projectile rises first and then falls into the
sea at point P, as shown in the following sketch. If you know
that the projectile has a time of flight of 40 seconds, that air
resistance is neglected, and that the gravitational acceleration
y 4
a
H.
1S 9
310 m
/s²:
1- Calculate the firing angle a.
D->
2- Prove that the parametric equations for the projectile motion are:
x(t)=60t ; -gt+1
y (t)=
2.
+175t
3- Deduce:
a- The distance D between the falling point P and the cliff
b- The height H of the cliff from the surface of the sea.
States
F4
F5
F6
F7
F8
F9
F10
F11](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F590e95a6-fe54-4230-9396-5e844dae7946%2Ff0baaa47-1020-44e0-9ba7-16a243662344%2Fccbmj3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2.1
3 1 4 |:5 1
9 1 10 | 11 | 12 13 1
11 12 | 13 14 15. 16 17 1 18
Question
A projectile was fired from the origin 0 of the Cartesian
coordinates on the edge of a cliff with an initial velocity V =
60 + 175 . The projectile rises first and then falls into the
sea at point P, as shown in the following sketch. If you know
that the projectile has a time of flight of 40 seconds, that air
resistance is neglected, and that the gravitational acceleration
y 4
a
H.
1S 9
310 m
/s²:
1- Calculate the firing angle a.
D->
2- Prove that the parametric equations for the projectile motion are:
x(t)=60t ; -gt+1
y (t)=
2.
+175t
3- Deduce:
a- The distance D between the falling point P and the cliff
b- The height H of the cliff from the surface of the sea.
States
F4
F5
F6
F7
F8
F9
F10
F11
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