Construct motion diagrams showing the velocity and acceleration of a projectile at several points along its path, assuming (a) the projectile is launched horizontally and (b) the projectile is launched at an angle u with the horizontal.
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Construct motion diagrams showing the velocity and acceleration
of a projectile at several points along its path, assuming
(a) the projectile is launched horizontally and (b) the projectile
is launched at an angle u with the horizontal.
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- A projectile is to be fired from the centre of the top of a building that is 100 m tall. It will be fired at an angle of 60o to the horizontal and at a speed of 20 ms−1 . (a) Find an expression for the position vector of the projectile at time t seconds. (b) How long it will take for the projectile to hit the ground? (c) How far away from the the centre of the building will the projectile be when it hits the ground? You may neglect air resistance and you may assume there are no cross winds etc. (Make sure you show all your working.)Construct motion diagrams showing the velocity and accelerationof a projectile at several points along its path, assuming(a) the projectile is launched horizontally and (b) the projectileis launched at an angle θ with the horizontal.A projectile is fired upward at an angle theta above the horizontal with an initial speed v0. At its maximum height, what are its velocity vector, its speed, and its acceleration vector?
- A basketball point guard shoot a free-throw with initial velocity vo= 6.5 m/s at an angle theta = 33 degrees above the horizontal. Use a Cartisian coordinate system with the origin located at the position at the ball was released, with the balls horizontal velocity in the position X direction and vertical component in the positive Y direction. Assume the basketball encounters no air resistance. (A) create an expression for the basketball initial velocity vector, vo, in rectangular form in terms of i, j, vo, theta, and g. (B) determine the maximum vertical height h max, in meters, The ball attains above the release point. (C) what is the acceleration vector, a comma in meters per square second? (D) Express the time, t, the basketball takes to reach its maximum vertical height in terms of vo, theta, and g. (E) determine the time, T in seconds, the basketball takes to reach its maximum vertical height. In a basketball game, two teammates are going to pass a ball to each otherstarting together from center half court. Assuming that we are looking at abasketball court in bird’s eye view, player A is moving “north” towards one endof the court going 9 m/s. Player B, who is now moving 76◦away to the rightpasses the ball to player A with the ball going 14 m/s. What are the magnitudeand direction of the ball’s velocity going towards player A?A ship launches a cannonball wuth an initial speed of 120 m/s at an angle of 30 degrees above the horizontal. The target is a coastal fort on top of the 100 m cliff. The cannonball lands on top of the fort (i.e., it's moving downwards). How far away horizontally was the fort from the ship?
- In a volleyball game held in BSU, A CE student player at position X serves the ball from a height of 1.3m from the ground, imparting it with an initial velocity at an angle of 50° from the horizontal. He aimed the all to land at point 0, 0.5m short to an Engineering Faculty player, thus making an ace, Incidentally the Engineering Faculty player is an expert in mind reading. The instant the server hits the ball, Mr Engineering Faculty started running from rest with a constant acceleration a. A. Check whether the ball will clear the 2.42m high net. (Specify the height obtained in meters) B. At what horizontal distance in meters from position Y will Mr Engineering Faculty intercept the ball, given that he intercepts it at a height of 1.6m? C. What is the acceleration in m/s^2 of Mr. Engineering Faculty? < Im net O Y 9m 9mA cannon ball is fired with an initial velocity vo at a wall that is 100. meters tall and located 450. meters away. The initial angle of launch of the cannon ball is 0. We want to determine if the cannon ball will clear the wall. If not how high-up will the ball strike the wall from the ground. (A) Sketch a graph showing position of the cannonball during its flight (y versus x) showing and labeling the initial velocity vector. Identify and write knowns and unknowns (B) Without using numerical values, determine which physics equations of motion will help solve this problem. Simplify as useful for this particular case. (C) If the initial horizontal component of the balls velocity is 90.0 m/s and its initial angle is 0-24 degrees, does the cannonball clear the wall? If not, how high above the ground is the ball when it hits the wall?In a volleyball game held in BSU, A CE student player at position X serves the ball from a height of 1.3m from the ground, imparting it with an initial velocity at an angle of 50° from the horizontal. He aimed the all to land at point O, 0.5m short to an Engineering Faculty player, thus making an ace, Incidentally the Engineering Faculty player is an expert in mind reading. The instant the server hits the ball, Mr Engineering Faculty started running from rest with a constant acceleration a. A. Check whether the ball will clear the 2.42m high net. (Specify the height obtained in meters) B. At what horizontal distance in meters from position Y will Mr Engineering Faculty intercept the ball, given that he intercepts it at a height of 1.6m? C. What is the acceleration in m/s^2 of Mr. Engineering Faculty? 1m net O Y 9m 9m
- Vivian is practicing her shooting accuracy with her slingshot by trying to shoot rubber balls into a bucket onthe ground. For one particular shot for which the ball lands in the bucket, she fred her slingshot horizontallywith an initial speed of 56.0 m/s at a height of 170 cm above the ground.(a) How far away is Vivian standing from the bucket?(b) What are the magnitude and direction of the ball’s velocity when it lands in the bucket?Question 2. A projectile is fired from the ground with an initial speed v at an angle 0 above the horizontal. (a) At t = 0, what is the velocity vector? (b) At what time t' does the projectile reach its maximum height? (c) What is the velocity vector at the top of the trajectory? (d) What is the horizontal distance traveled by the projectile? (e) At what angle should one launch the projectile to maximize horizontal distance traveled?A projectile is shot from the edge of a cliff 125 m above ground level with an initial speed of 105 m/s at an angle of 37º with the horizontal. (a) Determine the time taken by the projectile to hit the ground. (b) Determine the range of the projectile as measured from the base of the cliff. At the instant just before the projectile hits the ground, find (c) the horizontal and vertical components of its velocity, (d) the magnitude of the velocity, and (e) the angle made by the velocity vector with the horizontal.