You will be studying the two-dimensional motion of a projectile moving in a vertical plane. We assume that there is no air resistance on the projectile. This lab is based on the theory presented in Chapter 4 of the Knight (5th edition) textbook. The diagram below shows the trajectory of a ball projected from the origin at time t=0. On the axes below the diagram, sketch the respective graphs for the projectile motion. S
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- Give all a, b and c right solutions. A bullet was fired at a certain point A at an angle of 90 o from an inclined surface with slope of 5 vertical and 12 horizontal, and hit the surface at a distance of 70 m from point A measured along the inclined surface. a. What is the initial velocity(in m/s)? b. What is the maximum height (in m) reached by the bullet? c. What is the time (in sec) required for the bullet to hit the inclined plane?You fire a ball with an initial speed V0 at an angle (ϕ) above the surface of an incline, which is itself inclined at an angle (θ) above the horizontal (Figure below). a. Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. b. What angle ϕ gives the maximum range, measured along the incline? Ignore air resistance. c. Since there's no air resistance, this is a problem in projectile motion. The goal is to find the point where the ball's parabolic trajectory intersects the incline. It is best to choose the x-axis to be horizontal and direct to the right, the y-axis to be vertical and direct to the up, and the origin to be at the point where the ball is fired. In the projectile equations, the launch angle α0 is measured from the horizontal. What is this angle in terms of (θ) and (ϕ)?You are on the planet Neptune and want to determine the acceleration due to gravity, g. You have a stopwatch and a toy gun that can launch a ping pong ball vertically upwards with an initial velocity of 7.5 m/s. Describe, in words, how you would perform an experiment to determine the acceleration due to gravity. Be sure to describe the variables you would measure, the equations you would use and the assumptions you would make. Make sure to include a diagram of the physical situation, label the unknown and known quantities with units, coordinate system in your answer.
- .A ball is rolled up a ramp with an initial speed of five meters per second up the ramp,from an initial position three meters from the bottom of the ramp.It experiences a constant acceleration down the ramp of two meters per second squared. a. What is the peak distance up the ramp that the ball will reach?Hint: First solve for time using one of the kinematic equations… b. How fast will the ball be moving as it reaches the ground?90°. For example, ng an object thrown at an angle of 60° will have the same range as if it were thrown at an angle of 30°. to Big Idea Everything that moves toward the ground undergoes projectile motion. What Have I Learned So Far? Answer the following problems. Write your answers on a separate sheet of paper. 1. Consider a basketball that rolls off the horizontal surface of a table with a speed of 0.5 m/s and hits the floor after 0.530 s. Assume that there is no air resistance in this scenario. Molaz How tall is the table with respect to the floor? cipent How far did the basketball land with respect to the base of the table? a. b. y ther C. Solve for the horizontal and vertical components of the velocity of the ball just before it hit the floor. neile 2. Dodoy is a professional stuntman who has to jump from a cliff. What should his minimum speed be as he leaps from the edge of the cliff so that he will land on a soft cushion below which is 15.0 m from the base of the cliff? on gruvorn…Due to some problems experiencing nowadays, you tried wishing that everything will be solved in a wishing well. You threw a coin to a pit 12 m below ground at 38 m/s. a.Find its max height above ground b.At what times is it at ground level?
- An object rolls off a tabletop with a horizontal velocity vox=16 m/s. The table is table is at a height yo=1.7 m, above the floor. Use a coordinate system with its origin on the floor directly beneath the point where the object rolls off the table, its horizontal x-axis lying directly beneath thte object's trajectory, and its vertical y-axis pointing up. a. How long, in seconds, is the object falling before it hits the floor? b. What's the horizontal distance, in meters, from the edge of the tabletop to where the object lands? c. what is the vertical component of velocity, in meters per second, when the object hits the ground? d. What is the magnitude of the velocity (its speed) when it hits the floor?solve the following problem below. provide a complete solution with G (given), U (unknown), E (equation), and S (solution). for the equation/formula, kindly refer to the image attached. a stone is thrown from the top of the building with an inital velocity of 20.0 m/s straight upward. the building is 50.0 m high, and the stone just misses the edge of the roof on its way down.a. determine the time at which the stone reaches its maximum height.b. determine the maximum height of the stone above the rooftop.c. determine the time at which the stone returns to the level of the thrower.Fundamentals of Kinematics A.) Consider a particle moving in a straight line and assume that it's position is defined by the equation x = 6t2 - t3 (^-exponent). t is in sec and x is in meters. What is it's velocity at t = 3 sec? What is it's acceleration at t = 1.5 sec? And what is the total displacement at t = 3 sec?
- Read and analyze the problem below then solve. Show a complete solution with illustration. 1. The range R of a projectile fired at an acute angle e with the horizontal and with an initial velocity of v meters per second is given by R=V²/g sin20 where g is the acceleration due to gravity, which is 9.81 m/sec² near the Earth's surface. An archer targets an object 100 meters away from her position. If she positions her arrow at an angle of 32° and releases the arrow at the speed of 30 m/sec. will she hit her target? (Show your calculations.)1.C. a. Suppose you were doing a problem in not two, but three dimensions. Write all 4 kinematic equations for the z axis (i.e., with the appropriate z subscripts) b. A ball is executing projectile motion and has initial position vector ro, initial velocity vector o, and constant acceleration à graphed below. Its height is 20m, speed is 4m/s inclined at 39⁰ and the acceleration is due to Earth's gravity. Compute the numerical values of the 6 quantities Xo, Yo, Vxo, Vyo, ax, ay y 20m O 18 39⁰ vo 8A driver needs to make a delivery to an office that is 30 km away. The driver has traveled for 45 minutes west down a straight road at 50 km/h. a. Has the driver traveled far enough to reach the office? Support your response. b. Assume the driver has gone far enough and is traveling on the correct road. If he has not yet seen the business, what should he do to make the delivery? Explain your reasoning. Plzzz help