FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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You hit a golf ball from the (level) ground, with an initial speed and an initial angle. Ignore air resistance. (This is very unrealistic.)
The initial speed is v0 = 23.7 m/s, and the angle the ball is hit at is θ = 46o. Calculate vx0, the initial horizontal component of velocity (in m/s).
What equations describe the trajectory of the golf ball?
A snowmobile is originally at the point with position vector 30.5 m at 95.0° counterclockwise from the x-axis, moving with velocity 4.89 m/s at 40.0°. It moves with a constant acceleration 1.72 m/s2 at 200°. After 5.00 s have elapsed, find the following. (Express your answers in vector form.)
(a) its velocity vector.
(b) its position vector.
A snowmobile is originally at the point with position vector 26.3 m at 95.0° counterclockwise from the x axis, moving with velocity 4.89 m/s at 40.0°. It moves with constant acceleration 2.02 m/s2 at 200°. After 5.00 s have elapsed, find the following. (Express your answers in vector form.)
(a) its velocity vector
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- A crow is flying overhead 10.0 m above the ground when it drops an acorn. When the acorn is dropped, it is moving at 10.0 m/s at an angle of 20.0° below the horizontal. Ignoring air resistance, how much time does it take the acorn to hit the ground? How far horizontally does the acorn travel before it hits the ground? Ignore air resistance.arrow_forward2. 14. As a tennis ball is struck, it departs from the racket horizontally with a speed of 28.0 m/s. The ball hits the court at a horizontal distance of 19.6 m from the racket. How far above the court is the tennis ball when it leaves the racket?arrow_forwardA rock is thrown off a cliff at an angle of 59° above the horizontal. The cliff is 135 m high. The initial speed of the rock is 20 m/s. (Assume the height of the thrower is negligible.) (a) How high above the edge of the cliff does the rock rise (in m)?wrong answers are 149.449m and 18.016m (b) How far has it moved horizontally when it is at maximum altitude (in m)? (c) How long after the release does it hit the ground (in s)? (d) What is the range of the rock (in m)? (e)What are the horizontal and vertical positions (in m) of the rock relative to the edge of the cliff at t = 2.0 s, t = 4.0 s, and t = 6.0 s?(Assume the +x-direction is in the horizontal direction pointing away from the cliff, the +y-direction is up towards the sky, and x = y = 0 at the point from which the rock is thrown.) x(2.0 s) = my(2.0 s) = mx(4.0 s) = my(4.0 s) = mx(6.0 s) = my(6.0 s) = marrow_forward
- A pilot flies horizontally at 1300 km/h, at height h = 35 m above initially level ground. However, at time t = 0, the pilot begins to fly over ground sloping upward at angle u = 4.3°. If the pilot does not change the airplane’s heading, at what time t does the plane strike the ground?arrow_forwardA 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 SI units, with 3 or more significant figures, assuming that all the given numbers are accurate to 3 significant figures)arrow_forwardA rocket is launched at ground level with an initial speed of 189 ft/s, at an angle of 34° above the horizontal. It strikes a mark above the ground 2.4 seconds later.What is the vertical distance, in feet, from where the rocket was launched to where it lands?arrow_forward
- A baseball pitcher throws a ball at 98.0 mi/h in the horizontal direction. How far does the ball fall vertically by the time it reaches home plate, which is a horizontal distance of 60.5 ft away? (Express your answer in units of feet. Neglect air resistance.) ft A mountain lion jumps to a height of 3.30 m when leaving the ground at an angle of 41.5°. What is its initial speed (in m/s) as it leaves the ground? m/sarrow_forwardA snowmobile is originally at the point with position vector 27.1 m at 95.0° counterclockwise from the x axis, moving with velocity 4.13 m/s at 40.0°. It moves with constant acceleration 15 m at 200 After 5.00 s have elapsed, find the following. (Express your answers in vector form.) (a) its velocity vector (b) its position vectorarrow_forwardA few seconds after a plane took off it was hit by a missile launched from a distance on the ground. The path of the plane is described by y= (0.0005 x²) m. The missile traveled along a parabolic path described by y = (160 x), where the coordinates are measured in meters. If the components of the missile velocity in the horizontal and vertical directions are constant at v; =120 m/s and v, = 100 m/s, respectively, and the plane was rising with a constant upward velocity v, = 12 m/s, determine the magnitudes of the velocity and acceleration of the plane the moment it was hit by the missile. y y = (0.0005 x²) y? = (160 x) Xarrow_forward
- A student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity v0 = 17 m/s at an angle θ = 27 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position. With what speed, vf in meters per second, does the stone strike the ground?arrow_forwardA rock is launched at ground level with an initial speed of 42 m/s, at an angle of 35° above the horizontal. It hits a target above the ground 2.1 seconds later. what is the horizontal distance, in meters, from where the rock was launched to where it hits the target?arrow_forwardA long jumper (Fig. 3.11 in the book) leaves the ground at an angle of 30.0° to the horizontal and at a speed of 14.0 m/s. (a) How long does it take for him to reach maximum height? (b) What is the maximum height? (c) How far does he jump? (Assume his motion is equivalent to that of a particle, disregarding the motion of his arms and legs.) (d) Use Equation 3.9c given in the book page 63 to find the maximum height he reaches.arrow_forward
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