A soccer ball is kicked with an initial speed of 30 m/ s at an angle of 25° with respect to the horizontal. (a) Draw diagram showing motion of ball. (b) Find x- and y-components of initial velocity. (c) Find the maximum height reached by the ball.
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- A baseball is thrown from the outfield toward the catcher. When the ball reaches its highest point, which statement is true? (a) Its velocity and its acceleration are both zero. (b) Its velocity is not zero, but its acceleration is zero. (c) Its velocity is perpendicular to its acceleration. (d) Its acceleration depends on the angle at which the ball was thrown. (e) None of statements (a) through (d) is true.A skier leaves the ramp of a ski jump with a velocity of v = 10.0 m/s at = 15.0 above the horizontal as shown in Figure P3.52. The slope where she will land is inclined downward at = 50.0, and air resistance is negligible. Find (a) the distance from the end of the ramp to where the jumper lands and (b) her velocity components just before the landing. (c) Explain how you think the results might be affected if air resistance were included.In which of the following situations is the moving object appropriately modeled as a projectile? Choose all correct answers. (a) A shoe is tossed in an arbitrary direction. (b) A jet airplane crosses the sky with its engines thrusting the plane forward. (c) A rocket leaves the launch pad. (d) A rocket moves through the sky, at much less than the speed of sound, after its fuel has been used up. (e) A diver throws a stone under water.
- A projectile is fired at an angle of 45º above the horizontal. If air resistance is neglected, the line in the graph that best represents the horizontal displacement of the projectile as a function of travel time is: (A) 1 (B) 2 (C) 3 (D) 4 (E) None of these is correctWhen a ball was allowed to fall from rest from height h, a second ball was thrown up from the ground in the vertical direction. For two balls to meet at height h / 2, what should be the initial velocity of the second ball?A ball is tossed with a speed of 7.0 m/s at an angle of 40 degrees above the horizontal from an initial horizontal position of x = 0.0 m, and y = 1.2 m. a) Find the horizontal and vertical components of the initial velocity of the ball. b)Find the time, horizontal position, and vertical position of the ball when it reaches its highest height. c) Find the time and horizontal position of the ball when it lands on the ground at y = 0.0.
- Which of the following statements are true of the time of flight for a projectile? List all that apply. The time that a projectile is in the air is dependent upon the horizontal component of the initial velocity. The time that a projectile is in the air is dependent upon the vertical component of the initial velocity. For a projectile which lands at the same height that it is projected from, the time to rise to the peak is equal to the time to fall from its peak to the original height. For the same upward launch angles, projectiles will stay in the air longer if the initial velocity is increased. Assume that a kicked ball in football is a projectile. If the ball takes 3 seconds to rise to the peak of its trajectory, then it will take 6 seconds to fall from the peak of its trajectory to the ground.The record distance in the sport of throwing cowpats is 81.1 m. This record toss was set by Steve Urner of the United States in 1981. Assuming the initial launch angle was 45° and neglecting air resistance, determine the following: (a) the initial speed of the projectile and (b) the total time the projectile was in flight.In the two-dimensional motion, what is the magnitude of the y component of the velocity of the projectile when it is at its apex of trajectory? Select one: a. Velocity is equal to the initial velocity b. Velocity is 9.81 m/s c. Velocity is equal to the x component d. Undetermined e. Velocity is 0 m/s
- Consider a ball fired from a table that is h(m) high with a horizontal velocity v(m/s). Which of the following expressions is the correct formula to find how long it will take for the ball to strike the ground?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 particle moves down a horizontal route that begins 5 feet to the right of a specific point P with an initial velocity of 4 feet per second. Another particle is going along the same route, beginning 3 feet to the left of P with an initial velocity of 8 feet per second. Consider that the accelerations of the two particles are a1(t) = 2t 3 and a2(t) = 2t 5, respectively. Will the particles collide? Justify your response