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- se the position equation s = −16t2 + v0t + s0 where s represents the height of an object (in feet), v0 represents the initial velocity of the object (in feet per second), s0 represents the initial height of the object (in feet), and t represents the time (in seconds). A projectile is fired straight upward from ground level (s0 = 0) with an initial velocity of 128 feet per second. (b) When will the height be less than 128 feet? (Only consider the time from launch to landing. Enter your answer using interval notation.)A soccer ball is kicked from the ground at an angle of θ = 58 degrees with respect to the horizontal. The ball is in the air for a time tm = 1.6 s before it lands back on the ground. Numerically, what is the total horizontal distance, dm in meters, traveled by the ball in the time, tm?A soccer ball is punted from the ground at an angle of θ = 46 degrees with respect to the horizontal. The ball is in the air for a time tm = 1.9 s before it lands back on the ground. Numerically, what is the total horizontal distance, dm in meters, traveled by the ball in the time, tm?
- For general projectile motion, which of the following best describes the horizontal component of a projectile's velocity? Assume air resistance is negligible. 1) The horizontal component of a projectile's velocity continually decreases. 2) The horizontal component of a projectile's velocity continually increases. 3) The horizontal component of a projectile's velocity remains a nonzero constant. 4) The horizontal component of a projectile's velocity initially decreases and then increases. 5) The horizontal component of a projectile's velocity is zero.Select all statements about projectile motion that are true. (ignoring the effects of air resistance...) The magnitude of the x-component of a projectile's acceleration is 9.8 m/s2. The x-component of a projectile's acceleration is zero. The y-component of a projectile's acceleration is zero. The magnitude of a projectile's acceleration is 9.8 m/s2. The magnitude of a projectile's acceleration is zero. The magnitude of the y-component of a projectile's acceleration is 9.8 m/s2.A football is placed at rest on the field with initial coordinates x0 = 0 and y0 = 0. The ball is then kicked and thereby given an initial velocity of magnitude v0 = 23.6 m/s and direction θ0 = 36.3o above the horizontal. Ignore the effects of air resistance. Initial horizontal component of the velocity v0x = Initial vertical component of the velocity v0y = Horizontal component of the acceleration ax = Vertical component of the acceleration ay = Enter the equation for the horizontal position versus time, x(t) = Enter the equation for the vertical position versus time, y(t) = Enter the equation for the horizontal velocity versus time, vx(t) = Enter the equation for the vertical velocity versus time, vy(t) = Enter the equation for the total velocity versus time, v(t) = Enter the equation for the angle of the velocity vector versus time, θ(t)= Enter the maximum height of the football Enter the range of the football Enter the time it takes for the football to reach its maximum…
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- Using the conventional choice for positive and negative axes described in the text, what is the y-component of the acceleration of an object experiencing projectile motion?Which among the following statements is CORRECT? A.) The vertical component of the acceleration of a projectile is zero during the entire flight. B.)The vertical component of the velocity of a projectile remains contant during the entire flight. C.)The horizontal component of the velocity of a projectile remains contant during the entire flight. D.)The maximum height reached by a projectile does not depend on its initial speed.The initial velocity of Manuel playing “luksong tinik” has horizontal and vertical components that are equal in magnitude. What angle does his velocity make with the horizontal? A. 30° B. 45° C. 60° D. 90°