A student drew the relation between the height h and the square of the horizontal range D2 in the projectile motion by dropping the ball each time from the same height y at point A as shown. What is the height y? 3300 3000 2700 2400 y 2100 B 1800 Vo 1500 1200 900 600 300 h 10 15 20 25 30 h(cm) D'(cm?)

Problem 5:   A ball is kicked from the ground at an angle of θ = 49 degrees with respect to the horizontal. The ball is in the air for a time tm = 2.1 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?

Passengers on the deck of a boat with a speed of Vs= 20⁡ m/s with the given direction experience a wind blowing at a speed of Vw = 10⁡ m/s as shown. What is the magnitude of the wind speed experienced by someone on the shore?

A player kicked a soccer ball into the air with a velocity of 8.0 m/ls at an angle of 30° to the horizontal. What is the total time the ball spent in the air? (g = 9.8 m/s') Hint: Use Total Time of Flight, T 2USine %3D U = initial velocity 8.0 m/s %D %3D 0 = angle of projection = 30° g = acceleration due to gravity = 9.8 m/ s 9ME wse

Standing on top of a tower, a man launches a stone at time t=0 from a point 15.0 m above ground level. At the instant of launch, the stone has a speed of u = 5.00 m s-¹ and moves in a direction that makes an angle of 30° with the horizontal x-axis. At t = 2.00 s, the stone is still above ground level. 5x = Sy = 18 What are the x- and y-components of the stone's displacement relative to its launch point at time t = 2.00 s, and what is the stone's distance from its launch point at this time? Enter numbers, correct to 2 significant figures, in the three empty boxes below: S = 30 X B m m X В

A cork bobs up and down in a lake. The distance from the bottom of the lake to the center of the cork at time t>=0 is given by s(t)= 25+cos(pi t), where s(t) is in feet and t Is in seconds. During what time interval is the cork rising. Draw pictures as well

A golf ball is driven with the initial conditions shown in the figure. If the wind imparts a constant horizontal deceleration of 3.1 ft/sec², determine the values of r,r,r,0,0, and when t - 1.07 sec. Take the r-coordinate to be measured from the origin. Answers: r- 7 ! 0- 0- 0- i i i i i i 129 mi/hr 80 = 27° ft ft/sec ft/sec² rad/sec Wind rad/sec²

The figure shows thes initial position i and the final position f of a particle. 4 m i 3 m 3 m 4 m 4m 3 m 5m 3m 2 m 1m What is the initial position vector in unit-vector notation? n 2 m/ Xy 1m! 4m 5m 3 m x .i 3m m î+ i m + i mk

In the sport of billiards, event organizers often remove one of the rails on a pool table to allow players to measure the speed of their break shots (the opening shot of a game in which the player strikes a ball with his pool cue). The top of a pool table is a height ℎ=2.75 ft from the floor. If a player's ball lands a distance ?=13.75 ft from the table edge, what is her break shot speed V0? At what speed ?v did her pool ball hit the ground?

The position of a bird in the xy-plane is given by = (4.0m-x t²)î + Btĵ where x= 2.5 m/s2 and B = 5 m/s . What is the magnitude of bird's net velocity at 2.0 s? %3D 4.0 m/s O7.1 m/s O 11.2 m/s 15 m/s O -5.0 m/s