A person is riding on a flatcar traveling at a constant speed of 200 km/s (Fig.). He wishes to throw a ball through a stationary hoop 90 km above the height of his hands in such a manner that the ball will move horizontally as it passes through the hoop. He throws the ball with a speed of 250 m/s with respect to himself. (a) How many time required after he releases the ball will it pass through the hoop? (b) What must the vertical component of the initial velocity of the ball? (c) At what horizontal distance in front of the hoop must he release the ball? (d) When the ball leaves the man's hands, what is the direction of its velocity relative to the frame of reference of the flatcar? Relative to the frame of reference of an observer standing on the ground?

Q: The velocities of the particles at an instant are VA = 5m/s and VB = 7m/s, with the angle between…

A:

Q: Consider the particle moving at a speed of 100 m/s in the direction shown in the adjacent figure.…

A: Acceleration in circular coordinates is , ar=v˙r-rv2Θ              (1)aΘ=rv˙Θ+2v˙rvΘ             (2)…

Q: The base of a 20-meter tower is at the origin. The base of a 20-meter tree is at (0, 20,0). The…

A:

Q: A spacecraft is traveling with a velocity of Vox = 5210 m/s along the +x direction. Two engines are…

A: Velocity of spacecraft ( vox ) = 5210 m/s Time taken ( t ) = 833 s Acceleration in the  +x direction…

Q: A skier leaves the ramp of a ski jump with a velocity of υ = 10.0 m/s at θ = 15.0° above the…

A:

Q: Given the vectors: A =1i+2j+3k; B = -2i+5k; and C = -7k (i) Find A + B (ii) A-C (iii) A * B

A: Given, A→=i^ + 2 j^ + 3 k^ ;B→=-2 i^+ 5 k^ ;C→= - 7 k^ We have to evaluate: (1)  A→+B→ (2)  A→-B→…

Q: The range of the ball is always measured starting from the edge of the table up to the position…

A: The range of the ball is always measured starting from the edge of the table up to the position…

Q: A moving walkway at an airport has a speed v1 and a length L. A woman stands on the walkway as it…

A:

Q: An athlete crosses a 28 meters wide river by swimming perpendicular to the water current at a speed…

A: The objective of the question is to find the speed of the swimmer with respect to a friend at rest…

Q: A projectile is fired from a platform that is moving horizontally with velocity V = (V, 0, 0). The…

A:

Q: Tom Swift has built a rocket- and propeller-powered sled. It has a main thrusting propeller and a…

A: Given that Tom Swift has built a rocket- and propeller-powered sled. It has a main thrusting…

Q: A lightweight drone (1.00 kg) is launched at 800 m high and moves upward at a constant velocity…

A: First we need the time taken to hit the drone, t=SHvH=1600807.2=1.98 s Now the height at which…

Q: people love to play with balls nowadays especially during quarantine as theres not much to do. lets…

A: (a) Given: The final speed of the first ball is 4 ms. The final speed of the second ball is 3 ms.…

Q: A golf coach is showing her athletes how to hit a golf ball from the ground. Using her driver, she…

A: A. How long is the ball in the air before it first hits the ground?In the given parametric…

Q: Two projectiles are fired, one with velocity vo1 making an angle and the other with velocity v02…

A: The projectile 1 is fired with velocity v01 making an angle θ1The projectile 2 is fired with…

Q: In a high-speed police chase, a police van is racing after an assassin at a speed of 90 kmph.  The…

A: Given : Speed of the police van, Vp = 90 km/h = 25 m/s Muzzle speed of the bullet, Vb = 150 m/s…

Q: A ball rolls horizontally off the top of a stairway with a speed of 1.51 m/s. The steps are 19.4 cm…

A:

Q: In a game of billiards, ball A is given an initial velocity Vo = 3 m/sec along line DA, parallel to…

A: Given, Vo=3m/s

Q: Two trains are on the same track a distance d [m] apart heading towards one another. Each train has…

A: Please see the attached image for the solution.If there are queries or if the image is not loading,…

Q: Given the vector function r (t) = (t, 2t², 3t° + 5) Find the velocity and acceleration vectors at t…

A: r = <t, 2t 2 , -3t5 +5> v = dr/dt =<1, 4t, -15t 4> a = da/dt =<0, 4, -60t 3>

Q: I drive in the positive y direction for 100 seconds at a  velocity of 20 m/s. Then I go with a…

A:

Q: Cannonball fired with initial speed of 20m/s 40° from horizontal ● ● 3m 40° 1.5 m 30° horizontal…

A:

Q: A cannon tilted upward at θθtheta = 35 ∘∘  fires a cannonball with a speed of  100 m/sm/s .   At…

A:

Q: An artillery crew demonstrates its skill by firing a shell at an angle of 88.0 degress and then…

A: Given that: The angle of the shell is θ1=88° The second shell's angle is θ2=36° The initial velocity…

Q: A moving walkway at an airport has a speed v1 1 and a length L. A woman stands on the walkway as it…

A:

Q: An artillery crew demonstrates its skill by firing a shell at an angle of 88.0 degress and then…

A: An artillery crew demonstrates its skill by firing a shell at an angle of 88.0 degress and then…

Q: Each of four particles move along an x axis. Their coordinates (in meters) as functions of time (in…

A: Given data: The coordinates as functions of time are given particle 1: x(t) = 3.5 – 2.7t3 particle…

Q: Consider the vectors: A = 2î + 5j. B = 5i + 4j, and C = A - B. What is the direction of C , measured…

A: Here we have to subtract B from A component wise. C vector is coming out to be in 2nd quadrant. So…

Q: The equation 7(t) = (4 + t) i + (r² – 5) j + (7t) k gives the position of a particle in space at…

A:

Q: You are the captain of the John Paul Jones, Class-A Battleship on your way to kill the alien ship on…

A:

Q: A plane flies horizontally at an altitude h = 4 km with a horizontal speed of 540 km / h ; it…

A:

Q: Given two vectors A = (3Î – 2ĵ + 5k) and B = (6î – 7ĵ + 4Êk) find: (a) A²; (b) B²; (c) (A · B)².

A: A= 3i - 2j +5k  B= 6i -7j +4k

Q: An airplane takes 5 hours to travel a distance of 4500 miles with the wind. The return trip takes…

A: Given data:  Distance (d) = 4500 miles  Time taken to travel with the wind (t1) = 5 h Time taken to…

Q: Problem 9: A rocket moves downwards with constant speed of 800 m/s along a parabolic path. The…

A: The cartesian coordinates () of a point are related to its polar coordinates () by the equation,…

Q: The velocity of a particle moving in the x-y plane is given by (6.96i + 4.66j) m/s at time t = 3.70…

A:

Q: An engineering student throws a calculator straight up to a COVID-quarantined friend, who is leaning…

A:

Q: <pression for the ball's initial horizontal velocity, vor, in terms of the variables given in the…

A:

Q: A golf ball is hit from the edge of a small cliff in such a way that it goes through a basketball…

A: As per the guide line first 3 sub parts solved, kindly post remaining as a new post  1. Kinematic…

Q: The equation r(t) = (/2t) i+ (V2t- 16t2) j is the position of a particle in space at time t. Find…

A: Velocity is given by dr/dt V= dr/dt = d{(√2t)i+(√2-16t²)j}/dt V= (√2)i + (√2 - 32 t)j Let V at t=0…

Q: Danielle launches a ball off of a platform of height h with velocity vo at an angle 0 above the…

A:

Q: Particle originally at rest and located at (0.9m, 0.6m, 1.5m) is subjected to an acceleration of a…

A:

Projectile Motion