7) A projectile is launched from a platform with height of 10 m above the ground. The initial velocity is 15 m/s at 30 degrees above the horizontal on an airless plane. R=?- a) How long is the ball in flight just before it hits the ground? b) How far away from the platform does this projectile hit the ground (Range)? Show your work step by step. c) what is the final velocity of the ball right before it hits the ground? Show your work step by step.
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- A projectile is launched from ground level h0=0, to an uphill target at an elevation of h1 above ground, located at a distance d from the launch point. The projectile is fired with an initial velocity of v0, at an angle α > 45°.a) Make a sketch of the situation, including the given variablesSolve the following problems algebraically, in any order you wish, using any approach, function or equation you wish:b) At what angle must the projectile be fired to hit the target?c) After what time does the projectile hit the target?d) What is the highest elevation of the projectile above ground?e) What is the angle at which the projectile hits the target?f) At what point of the trajectory of the projectile is the radius of curvature the smallest, and why?g) What is the radius of curvature at that point?h) What is the radius of curvature at the launch point?i) What is the path function y=f(x) of the projectile?j) What is the total length of the path of the projectile?k) Solve the above…A projectile is launched from a height H above the ground with speed V0 at an angle ao above the horizontal. In this problem, use a coordinate system where +y direction is upward. the+x direction is along the horizontal and to the right, and the x-coordinate of the projectile is initially zero. In this example, the maximum height reached by the projectile and the range of a projectile was calculated for a projectile launched from a height H above the ground and at an angle ao above the horizontal line. Calculate the time of flight, range, R, and maximum height, yMAX, reached by the projectile for the following special cases: a) Case 1: The projectile launched from the ground (H=0) b) Case 2: The projectile is launched horizontally (ao = 0)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 = 25 m/s at an angle θ = 17 ° 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? Recall that the ball will have a final velocity along the y-axis and the x-axis and these components need to be added together with the Pythagorean theorem in order to find the resultant velocity.
- You throw a ball at a launch speed of 6.7 m/s at an angle of 52.5 degrees to the horizontal. Assuming that the ball lands at the same level as the launch height, what is the maximum range of the ball in metres? Give your answer to 2 sf.A ball is thrown from a 10 m high cliff at the velocity 20 ms-1with an angle of 30° to the horizontal plane as shown in the picture below. 40 m from the edge of the cliff is a 10 m high wall.a) Will the ball pass over the wall?b) If not, where will it hit the wall and with what velocity?A projectile is fired from the top of a 40 meter high cliff at an angle of 15 degrees BELOW the horizontal and a speed of 25 m/sec. at what angle will it strike the ground? What is the final speed of the projectile when it hits the cliff
- A 1.6m-tall basketball player tries to shoot a ball at an angle of 45° to a basketball ring that is 20 m away and 3 m above the ground. If she throws the ball directly over her head, at what speed should she shoot the ball to score? Please include figures or diagrams if applicable thank you so much!A skateboarder shoots off a ramp with a velocity of 7.8m/s, directed at an angle of 59degrees above the horizontal. The end of the ramp is 1.0m above the ground. Let the x-axis be parallel to the ground, the +y direction be vertically upward, and take as the origin the point on the ground directly below the top of the ramp. How high above the ground is the highest point that the skateboarder reaches, and when the skateboarder reaches the highest point how far is the point horizontally from the end of the ramp?the leprechaun in the shamrock patch was named O'Malley and since he was disrupted from sitting in his patch he decided to go off and play a round of his favorite sport in where leprechaun kick a gold coin from a tee into a post 317m away. if he kicked the coin at an angle of 60 degree at a velocity of 60 m/s how high was the arch of the rainbow created by the trajectory? how long did it take to get to the pot? the officials in dublin decided to add a goal post to "kick O coin" 300 meters away and so many 33 meters high. would O'Malley's kick have cleared this goal post?
- Emily throws a soccer ball out of her dorm window to Allison, who is waiting below to catch it. If Emily throws the ball at an angle of 30° below horizontal with a speed of 12 m/s, how far from the base of the dorm should Allison stand to catch the ball? Assume the vertical distance between where Emily releases the ball and Allison catches it is 6.0 m.A guy is standing on a relatively flat surface (h = 0 m). A pesky drone is flying overhead at a height of 120 m above the ground and with a velocity of 15 m/s. The guy gets annoyed and fires an arrow with an initial velocity of 100 m/s the instant the horizontal distance between him and the drone is 5 m. At what angle must he fire the arrow in order to hit the drone? Take the guy's height to be 1.8 m. Just to clarify, would shooting an arrow follow the same rules as a regular projectile motion problem? Thanks.One of the most dramatic videos on the web (but entirely fictitious) supposedly shows a man sliding along a long water slide and then being launched into the air to land in a water pool. Let’s attach some reasonable numbers to such a flight to calculate the velocity with which the man would have hit the water. it indicates the launch and landing sites and includes a superimposed coordinate system with its origin conveniently located at the launch site. From the video we take the horizontal flight distance as D= 20.0 m, the flight time as t = 2.50 s, and the launch angle as 0 =40.0°. Find the magnitude of the velocity at launch and at landing.