A projectile is launched at ground level with an initial speed of 39.8 m/s at an angle of 21.9 degrees above the horizontal. What is the vertical component of the initial velocity? (Express your answer in St units, with 3 or more significant figures, assuming that all the given numbers are accurate to 3 significant figures)

A projectile is launched at ground level with an initial speed of 39.8 m/s at an angle of 21.9 degrees above the horizontal. What is the vertical component of the initial velocity? (Express your answer in St units, with 3 or more significant figures, assuming that all the given numbers are accurate to 3 significant figures)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 13OQ: Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector...

See similar textbooks

Similar questions

A helicopter has a speed in calm air of 170 kmh- and it's travelling on a bearing of 120° relative to the air. The wind is blowing at a speed of 30 kmh from the south-west. Take unit vectors i to point east and j to point north. (a) Express the original velocity b of the helicopter relative to the air and the velocity w of the wind in component form, giving the numerical values in km h-1 to two decimal places. (b) Express the resultant velocity v of the helicopter in component form, giving numerical values in km h-¹ to two decimal places. (c) Hence find the magnitude and direction of the resultant velocity v of the helicopter, giving the magnitude in km h−¹ to one decimal place and the direction as a bearing to the nearest degree.
A rocket follows a path givent by y=x-1/40 x^3(in miles). The horizontal velocity is given by Vx=x, find the Magnitude and the Direction of the velocity when the rocket hits the ground (assuming level terrain) if time is in minutes. The magnitude is approximately ? miles per minute (rounded the final answer to one decimal point. Round all intermediate values to two decimal places as needed. The direction of the velocity is in degrees.
A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 3.9m to the north, 9.4 m 45° north of east, and 9.5m 50° west of south. Starting at the same initial point, an expert could make the hole in a single displacement. What is the magnitude of this single displacement in meters?
An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2 at 200.0°. Assume that all angles are measured with respect to the positive x-axis. (a) Write the initial velocity vector and the acceleration vector in unit vector notation. (b) If the object maintains this acceleration for 12.0 seconds, determine the average velocity vector over the time interval. Express your answer in your unit vector notation.
A diver jumps off a cliff of height h at an angle θ = 260 (see figure). He reaches a maximum height of h subscript m a x end subscript= 20 m above the top of the cliff before falling to the water below. He hits the water x=295 m from the base of the cliff. Determine the height of the cliff, h. Take g=10m/s2 . Round your answer to one decimal place.
A golf ball is hit upward from the ground, with an initial velocity of 66 meters per second, at an angle of 27° with respect to the horizontal. The horizontal distance x from the starting point and the height y above the ground of the ball t seconds after it is hit are given by the parametric equations below. x-(v, cos e)r y=-4.912 + (vo sin 0)t +h Here vo is the initial velocity, 0 is the initial angle with respect to the horizontal, and h is the initial height. Use the equations to answer the following questions. (a) When does the golf ball reach its maximum height? Do not round any intermediate computations. Round your answer to the nearest hundredth. I| seconds (b) What is the maximum height of the golf ball? Round your answer to the nearest tenth. meters
An engineer designs a roller coaster so that a car travels horizontally for 192 ft, then climbs 147 ft at an angle of 33.00 above the horizontal. It then moves 147 ft at an angle of 42.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) magnitude The magnitude of the displacement is the length of the vector which goes from the starting point to the ending point. You will need to measure this distance, and multiply by your scale factor. ft direction ° counterclockwise from the +x-axis
A person walks in the following pattern: 2.2 km north, then 2.9 km west, and finally 4.4 km south. (a) How far and (b) at what angle (measured counterclockwise from east) would a bird fly in a straight line from the same starting point to the same final point? (a) Number i 36.4 (b) Number i 52.8 Units km Units °(degrees)
The position vector 7 = (3.50t)î + (et + ft² ) locates a particle as a function of time t. Vector is in meters, t is in seconds, and factors e and f are constants. The figure gives the angle of the particle's direction of travel as a function of time ( is measured from the positive direction of the x axis). What are (a) factor e and (b) factor f, including units? (a) Number i (b) Number i 20° 0° -20° 10 t (s) Units Units 20
A placekicker is about to kick a field goal. The ball is 26.1 m from the goalpost. The ball is kicked with an initial velocity of 18.9 m/s at an angle 8 above the ground. Between what two angles, 0₁ and 02, will the ball clear the 3.05-m-high crossbar? Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identities may be useful: sec 8=1/(cos 8) and sec²0-1+tan²0.) M
A man goes for a walk, starting from the origin of an xyz coordinate system, with the xy plane horizontal and the x axis eastward. Carrying a bad penny, he walks 1300 m east, 2200 m north, and then drops the penny from a cliff 410 m high. (a) In unit-vector notation, what is the displacement of the penny from start to its landing point? (b) When the man returns to the origin, what is the magnitude of his displacement for the return trip?
As it passes over Grand Bahama Island, the eye of a hurricane is moving in a direction 63.0° north of west with a speed of 40.2 km/h. (Let i represent east and j represent north.) (a) What is the unit-vector expression for the velocity of the hurricane? km/h i+ km/hi It maintains this velocity for 3.50 h, at which time the course of the hurricane suddenly shifts due north, and its speed slows to a constant 25.2 km/h. This new velocity is maintained for 1.50 h. (b) What is the unit-vector expression for the new velocity of the hurricane? km/h j km/h i+ (c) What is the unit-vector expression for the displacement of the hurricane during the first 3.50 h? km i+ km j (d) What is the unit-vector expression for the displacement of the hurricane during the latter 1.50 h? km i+ km j (e) How far from Grand Bahama is the eye 5.00 h after it passes over the island? km