A soccer player kicks a ball at an angle of 60∘ above the ground. The soccer ball hits the ground some distance away. Neglect any effects due to air resistance.Is there any point at which the soccer ball's velocity and acceleration vectors are perpendicular to each other?

A batter hits the baseball A with an initial velocity of vo = 91 ft/sec directly toward fielder B at an angle of 38° to the horizontal; the initial position of the ball is 2.4 ft above ground level. Fielder B requires 0.24 sec to judge where the ball should be caught and begins moving to that position with constant speed. Because of great experience, fielder B chooses his running speed so that he arrives at the "catch position" simultaneously with the baseball. The catch position is the field location at which the ball altitude is 7.9 ft. Determine the velocity of the ball relative to the fielder at the instant the catch is made. Vo 438° 2.4' Answer: VA/B = (i 204' B i+ i Next question j) ft/sec

A football is kicked at 25.0 m/s at an angle of 29.0° above the horizontal. Assume it starts 1.00 m above ground level. (Neglect any effects due to air resistance.) Describe the velocity vector of the ball in terms of its x- and y-components, U, and u,, respectively, when it is 4.50 m above ground level and still moving upward. U₂ = 21.86 U)= m/s 23.78 Describe the velocity vector of the ball in terms of its magnitude u and angle 0 above the horizon when it is 4.50 m above ground level and still moving upward. m/s 9.38 0= Incorrect 23.22 m/s Incorrect

-b+√b²-4ac 2a x = x₂ + V₁xt + ²axt², V₁₁x = V₁x + axt, (v₁₁x)² = (v₁x)² + 2axx, t == у = V₁ + V₁¸yt + ² α¸t², Vf₁y = V₁y+āÿt, (Vƒ‚y)² = (v₁y)² + 2a,ÿ

1. Vivian is practicing her shooting accuracy with her slingshot by trying to shoot rubber balls into a bucket on the ground. For one particular shot for which the ball lands in the bucket, she fired her slingshot horizontally with an initial speed of 56.0 m/s at a height of 170 cm above the ground. (a) How far away is Vivian standing from the bucket? (b) What are the magnitude and direction of the ball's velocity when it lands in the bucket? Note: Please be mindful of significant figures. Also, you can assume that when the balls land in the bucket, they are on the ground.

Spitting cobras can defend themselves by squeezing muscles around their venom glands to squirt venom at an attacker. Suppose a spitting cobra rears up to a height of 0.520 m above the ground and launches venom at 2.50 m/s, directed 37.0° above the horizon. Neglecting air resistance, find the horizontal distance (in m) traveled by the venom before it hits the ground.

A ball is thrown from a height h = 15 m above the ground. When the ball leaves with initial speed of 5.0 m/s at an angle of a= 34° below the horizontal. What is the magnitude of the dlisplacement between the launching point and where the ball hits the ground ?

Solve the problem by showing all complete solutions and illustration. An arrow is shot from a height of 1.5 m toward a cliff of height H. It is shot with a velocity of 30 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 4.0 s later. (a) What is the height of the cliff? (b) What is the maximum height reached by the arrow along its trajectory? (c) What is the arrow’s impact speed just before hitting the cliff?

2 M S F2 7. The captain of a small plane starts his journey by proceeding west. The speed of the plane with respect to still air is 170 km/h. A sudden south wind starts to blow at a constant speed of 87.5 km/h. What is the speed of the plane relative to the ground if no action is taken by the pilot? km/h 3 8. b) As seen by people on the ground, what is the angle made between the direction of motion of the plane with repect to the west? 9. c) At what angle with respect to the west must the pilot head his plane in order for it to proceed west as seen by the people on the ground? E 80 F3 D $ 4 F4 R F % O 5 F5 T G 6 MacBook Air IS Y & 7 H F7 U * 8 J DII FB ( 9 K F10 L P F12

An inflatable life raft is released from an airplane at 300 m altitude, in level flight, with an air speed of 40 m/s in the horizontal direction. At what horizontal distance from the release point does the raft strike the water?