An arrow is shot horizontally outwards into the air from a cliff, do you agree with the statement “The acceleration of the arrow could never be parallel to its velocity”? Explain with reasoning.
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An arrow is shot horizontally outwards into the air from a cliff, do you agree with the statement “The acceleration of the arrow could never be parallel to its velocity”? Explain with reasoning.
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- 35) A dart is thrown horizontally at a speed of 10 m/s at the bull’s-eye of a dartboard 2.4 m away, as in the following figure. (a) How far below the intended target does the dart hit? (b) What does your answer tell you about how proficient dart players throw their darts?3. A cannon on Earth (located at the origin) launches a projectile, of mass m, horizontally at height y = 0 m with speed vo, as shown in the figure below: y (m) ↑ x (m) Fw There is a strong wind that imparts a force with constant magnitude Fw, in the negative x-direction, on the projectile as it is airborne. VoA projectile is fired with initial speed 150 m/s and an angle of elevation 45° from a position 10 m above ground level. Where does the projectile hit the ground and with what speed? Solution If we place the origin at ground level, then the initial position of the projectile is (0, 10) and so we need to adjust the parametric equations of the trajectory by adding 10 to the expression for y. With v0 = 150 m/s, ? = 45°, and g = 9.8 m/s2, we have x = 150 cos ? 4 t = y = 10 + 150 sin ? 4 t − 1 2 (9.8)t2 = . Impact occurs when y = 0, that is 4.9t2 − 75 2 t − 10 = 0. Solving this quadratic equation (and using only the positive value of t), we get the following. (Round your answer to two decimal places.) t = 75 2 + 11,250 + 196 9.8 ≈ Then x ≈ 75 2 (21.74) ≈ (rounded to the nearest whole number), so the projectile hits the ground about…
- 9. A hoat moves from a point A(4i+5j) to another point across the river. The new position of the boat is given by B (-71-91). The displacement vector is given by b 11i-14Lesson: Projectiles If two projectiles have the same size and shape but one is heavier than the other, which will travel further horizontally if they are both launched at the same angle and speed? O The heavy one O They will both be the same O The light one O Not enough information to tellA projectile 10.0 m above ground is fired horizontally with an initial speed of 12.0 m/s the projectile in air = 1.43s the projectile travel before hitting the ground = 17.2 m The fired cannon at several different initial speeds and its corresponding ranges initial speed range 13.0 18.6 14.0 20.0 15.0 21.5 16.0 22.9 17.0 24.3 a. Does range increase linearly with the initial speed? Explain. b. Find the time of flight t and the correlation coefficient r : c. Find the value of g
- A cannonball is launched diagonally with an initial horizontal velocity of 50.0m/s and an initial vertical velocity of 30.0Om/s. Label the hypotenuse, opposite side and adjacent side, and determine all unknowns. initial velocity: m/s initial horizontal velocity: m/s initial vertical velocity: m/s At what angle (0) was the cannonball launched?2. At an archery contest, a large circular target 5 ft in diameter is laid flat on the ground with the bull's- eye exactly 180 yd (540 ft) away from the archers. Marion draws her bow and shoots an arrow at an angle of 25° above horizontal with an initial velocity of 150 ft/sec (assume the archers are standing in a depression and the arrow is shot from ground level). a) What was the maximum height of the arrow? b) Does the arrow hit the target?A soccer ball is kicked with an initial horizontal velocity of 18 m/s and an initial vertical velocity of 13 m/s. 1) What is the initial speed of the ball? 2) What is the initial angle ? of the ball with respect to the ground? 3) What is the maximum height the ball goes above the ground? 4) How far from where it was kicked will the ball land?
- A helicopter is flying horizontally with a speed of 67.3 m/s over a hill that slopes upward with a 5% grade (that is, the "rise" is 5% of the "run"). The helicopter's velocity is horizontal with a magnitude of 67.3 m/s and can be resolved into components parallel and perpendicular to the hill. Calculate the magnitude of the perpendicular component.If you fire a projectile at various speeds, does this change the time that the projectile is in the air? Explain why or why not?