Now you throw the stone with a velocity of 60 m/s at 30 degrees from the horizontal, how far from you would it be when it comes back down to the same hight from where you tossed it?
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- sin(20) where vo is the initial velocity in feet per second and is the angle of elevation. If yo 2300 feet per second and is changed from 13° to 14° use differentials to approximate the change in the range. Round your answer to the nearest integer. The range R of a projectile is R = Select one: Ⓒa. 2811 ft X b. 2593 ft C. 5623 ft d. 4568 ft 5186 ft e. = Incorrect 32A plane can travel with a speed of 80mi/hr due North with respect to the air. Determine the resultant velocity of the plane (magnitude only) if it encounters a A. 10mi/hr headwind (opposlte de the airplane motion) b.10mi/hr taiwand (in the same direction as the airplane motion) C. 10mi/hr crosswind (due west) D.60mi/hr crosswind (due west)Now you shoot the ball with a velocity of 200 m/s at 30 degrees from the horizontal, how far from you would it be when it comes back down to the same hight from where you tossed it? Give your answer in units of [km]
- A person starts from his home and walks the following distances: i) 1500 yards, 50° N of E ii) 1800 yards, 50° W of N ii) 1000 yards, due south. What direction is the person relative to his home? O 38° S of E O 55° N of W O 42° S of W O 27° E of S O 72° N of W Save for Later Submit Answer W 版 )l ASUS prt sc sysro 18 f12 pause break delete home O/ROne of the fastest recorded pitches in major league baseball was clocked at 101.0 MPH (outdated...I just watched someone pitch 103 MPH). If a ball was thrown horizontally with this velocity, how far would the ball drop verticallyby the time it reached homeplate, 60.5 ftaway? Answer: 0.817m or 2.68 ftA baseball (at ground level) is hit and it flies at 175 m/s at an angle of 60o (from the horizontal plane). Calculate its maximum height.
- Problem 4: A soccer ball is kicked from ground level across a level soccer field with initial velocity vector vo = 8 m/s at 0= 16° above horizontal. The soccer ball feels wind resistance which causes it to slow horizontally with constant acceleration magnitude a, = 0.54 m/s, while leaving its vertical motion unchanged. Assume any other air resistance is negligible. Choose the positive direction ofx from initial point towards final point of flight. Use a Cartesian coordinate system with the origin at the ball's initial position.An airplane startsd at rest and accelerates at 8.3 m/s^2 at an angle of 31degrees south of west. After 9s, how far in the wesdterly direcetion has the plane traveled? After 9s, how far in the southernly direction has the pla e traveled?A helicopter flying horizontally at an altitude of 3 km is on course to pass directly over a cell tower.At the instant when the helicopter is 5 km from the tower, the distance between them is decreasingat the rate of 160 km/h. What is the helicopter’s speed at that time?
- A fixed mortar can fire a bomb with a velocity of 60 m/s and can be set between anangles 10 to 75 degree above the horizontal. What is the farthest possible distancethat the bomb can reach?A projectile launches at an initial velocity of 55 m/s. Determine the length of time it will take the projectile to land. g = 9.81 m/s^2 Vo 30° M N Ad, = (v,)t Ad, - = (v, )t V2y = Vi, - gt (v,) = (v, ) - 2g(Ad,) v = v, cos e (constant) Viy = v, sin e 1 = initial 2 = finalThe maximum height H of an object launched with initial velocity vo at an angle 0 is given by the following formula. v sin'e H = 2g 5n If g = 9.8 m/s“, find the height of an object when vo = 95 m/s and 0 = rad. 11 Do not round any intermediate computations. Round your answer to the nearest hundredth.