How long will it take the camel to cross the desert? Answer in units of hr. Calc

Question

How long will it take the camel to cross the desert? Answer in units of hr. Calculate the camel's eastward displacement while he crosses the desert. Answer in units of km. A car travels 1.63 km in the x-direction. then turns left 76.4degree to the original direction and travels an additional distance of 4.91 km. Calculate the x component of the car's net displacement. Let: d_1 = 1.63 km, theta = 76.4degree, and d_2 = 4.91 km. Answer in units of km. As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 53degree north of west with a speed of 55 km/h. Three hours later, it shifts due north, and its speed slows to 92 km/h. How far from Grand Bahama is the eye 4.50 h after it passes over the island? Answer in units of km. A truck travels beneath an airplane that is moving 120 km/h at an angle of 32degree to the ground. How fast must the truck travel to stay beneath the airplane? Answer in units of km/h. What is the magnitude of the vertical component of the velocity of the plane? Answer in units of km/h. An airplane flying parallel to the ground undergoes two consecutive displacements. The first is 70 km at 39.3degree west of north, and the second is 189 km at 54.8degree east of north. What is the magnitude of the plane's total displacement? Answer in units of km. At what angle east of north is the plane's total displacement? Answer in units of degree. A roller coaster travels 29.6 m at an angle of 16.0degree above the horizontal. How far does it move horizontally? Answer in units of m. How far does it move vertically? Answer in units of m. Two airplanes leave an airport at the same time. The velocity of the first airplane is 670 m/h at a heading of 40.4degree. The velocity of the second is 580 m/h at a heading of 99degree. How far are they after 2.9 h? Answer in units of m. A hiker makes four straight-line walks A 18 km at 303degree B 14 km at 337degree C 23 km at 7degree D 33 km at 161degree in random directions and length starting at position (41 km, 41 km). Which vector will return the hiker to the starting point? All angles are measured in a counter-clockwise direction from the positive x-axis. 1. ||E|| = 15.9453 km, theta_e = 153.882degree 2. ||E|| = 52.6436, theta_e = 343.775 3. ||E|| = 29.1869, theta_e = 84.3008 4. ||E|| = 11.8749, theta_e = 121.23 5. ||E|| = 11.5144, theta_e = 121.282 6. ||E|| = 62.367, theta_e = = .187191 7. ||E|| = 41.9031, theta_e = 209.784 8. ||E|| = 70.1168, theta_e = 38.2633 9. ||E|| = 28.6226, theta_e = 288.214 10. ||E|| = 54.929, theta_e = = 316.679 A particle undergoes two displacements. The first has a magnitude of 140 cm and makes an angle of 119.1degree with the positive x axis. The resultant of the two displacements is 68 cm directed at an angle of 17degree to the positive x axis. Find the magnitude of the second displacement. Answer in units of cm. Consider three force vectors F_1 with magnitude 53 N and direction 56degree, with magnitude 38 N and direction -74degree, and F_3 with magnitude 12 N and direction 120degree. All direction angles theta are measured from the positive x axis: counter-clockwise for theta > 0 and clockwise for theta

Explanation / Answer

Here,

23)

for the x component of displacement

x component of displacement = d1 + d2 * cos(76.4)

x component of displacement = 1.63 + 4.91 * cos(76.4)

x component of displacement = 2.785 km

25)

speed of airplane , u = 120 km/hr

theta = 32 degree

speed of truck = u * cos(theta)

speed of truck = 120 * cos(32)

speed of truck = 101.8 km.hr

26)

for the vertical velocity of airplane

vertical velocity of airplane = u * sin(theta)

vertical velocity of airplane = 120 * sin(32)

vertical velocity of airplane = 63.6 km/hr

27)

for the total displacement

total displacement = 70 * (- cos(39.3) i + j * sin(39.3)) + 189 * (cos(54.8) i + j * sin(54.8)) km

total displacement = 54.8 i + 198.8 j

magnitude of total displacement = sqrt(54.8^2 + 198.8^2)

magnitude of total displacement = 206.2 km

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.