uestlon For the problem, use the discriminant to determine the number of real solutions for the equation. Then, find the solutions and check to see if they make sense in the context of the problem. A soccer player uses her head to hit a ball up in the air from a helght of 2 meters with an Initlal vertical velocity of 5 meters per second. The height h in meters of the ball is given by h = -4.9t2+5t +2, where t Is the time elapsed in seconds. How long will it take the ball to hit the ground if no other players touch it? Enter the time to two decimal places. The equation has two v real solution(s). zero The soccer ball re he ground after about 1.33 seconds. one two

Q: Given a projectile that hits a vertical wall as shown, a) If V, = 120 m/s, 0 = 30°, find the range…

A: Solution:-

Q: To decide who pays for lunch, a passengeron a moving train tosses a coin straight upward with an…

A: (a) Relative to the ground, the coin has both vertical horizontal components of velocity. However,…

Q: A golf ball leaves the ground with an initial velocity vo = voxî + vovĵ. The ball hits a vertical…

A:

Q: If A = -15i + 25j + 13k and B = -3j + 7k, find the resultant when A is subtracted from B? * 12i -28j…

A:

Q: A red train traveling at 72 miles/hour (mph) and a green train traveling at 100 mph are headed…

A: Given information: The speed of the red train (Vr) = 72 mph we know that:1 mile = 1609 m1 mile/hr =…

Q: A stone is thrown horizontally with a speed of 12 m/s from the edge of a 10 m high cliff. With what…

A: Given : Horizontal speed (vox) = 12 m/s Initial position of stone (yo) = 10 m Final position (y) = 0…

Q: A missile is fired with a launch velocity of 15,000 ft/s at a target 1200 miles away. At what angle…

A: Formula of range of projectile is as follows: R=u2sin2θg…

Q: In a one-dimensional motion, if the speed vs. time dependence is v(t)=2At, where v is in m/s, and t…

A:

Q: A baseball, hit 5.5 feet above the ground, leaves the bat at an angle of 35°35° and is caught by an…

A:

Q: A worker on a rooftop is startled by a snake, scoops it with a shovel and throws it down the…

A: Initial speed, u = 16 m/s Maximum height, h = ?  Acceleration due to gravity, g = 9.8 m/s²

Q: A ball is kicked at the edge of a cliff with a magnitude of 20m/s at angle of 40o from the…

A:

Q: I performed a lab using a toy car to go down a ramp that was positioned at different heights. For…

A: According to the conservation of energy, Ks+Us=KB+US

Q: Is the velocity of a projectile at its maximum height zero? Why?

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Q: two identical box moves with the same speed along perpendicular trajectories, one along horizontal…

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Q: Which of the following are TRUE? Choose only three (3). Select one or more: a. At constant launch…

A:

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Q: In an open space, Arianna throws a tennis ball at an angle of 26∘ to the horizontal with an initial…

A: Given data: The angle of projection is θ=26° The initial velocity of the ball is u=78 ft/s The…

Q: let the body be projected upward with initial speed vO, so that the maximum height on Earth will be…

A: RecallVf2=Vi2-2ahwhere a is acceleration due to gravity. Vf=0 for maximam height.

Q: A missile is fired with a launch velocity of 15, 000 ft/s at a target 1200 miles away. At what angle…

A: The velocity is 15,000ft/s To find the angle that hit the target

Q: In the What If? section of Example 4.5, it was claimed that the maximum range of a ski jumper occurs…

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Q: An army captain wants to fire an artillery shell deep into the enemy's flank. However, he knows that…

A: This is a problem of projectile motion. The maximum height of the shell is H. The muzzle velocity of…

Q: where x is the A rocket is launched following the path h horizontal distance and h is the vertical…

A: Given data: Path of the rocket, h2=643x+11/2 Vertical speed of the rocket, dhdt=12 mi/s Height, h=1…

Q: A major league pitcher claims that he can throw a baseball from the ground, straight up, as high as…

A: Given: The maximum height league pitcher claims is h=740 ft.

Q: A projectile is launched directly upward from the surface of the Earth with an initial speed of 5.9…

A: initial launch speed = 5.9 km/s = 5900 m/s Maximum height = ?

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota a distance of 180 miles. Because…

A:

Q: Using 3 different angles, show on a graph that the maximum range of  a missile can only be achieved…

A:

Q: A stunt flier is moving at 15 m/s parallel to the flat ground 100 m below. How large must the…

A: From kinematics, the expression for the displacement along the vertical direction is: Substitute…

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A:

Q: A red train traveling at 72 miles/hour (mph) and a green train traveling at 100 mph are headed…

A:

Q: Two friends are playing catch, indoors, with a baseball, where the ceiling height is 6.15mm. The…

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A:

Q: A rescue pilot drops a survival kit while her plane is flying at an altitude of 2500.0m with a…

A: Using kinematic equation, the expression for find time is ∆y=ut+12at2=12at2t2=2∆ya Substitute values…

Q: so what's the answer based on the options given?

A: We have to tell which option is correct after solving for direction .

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Q: A longbowman launches arrows at 50 m/s. Assuming that the firing is done at 45 degrees from the…

A:

Q: Compute the trajectory of a projectile moving in space in a constant gravitational field and under…

A:

Q: A particle is projected with a velocity such that its range on the horizontal plane is twice the…

A:

Q: after being released form the ground, a golf ball reached its maximum height in 12.66s and 5.3s…

A: Apply the second kinematic equation to determine the maximum height reached by the ball.

Q: it was claimed that the maximum range of a ski jumper occurs for a launch angle θ given by: θ = 45°…

A: Suppose that the ski jumper is initially at origin and when he/she lands then the coordinates of the…

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.