A soldier is tasked with measuring the muzzle velocity of a new rifle. Knowing the principles of Vertical displacement projectile motion, he decides to perform a simple experiment at the indoor firing range. The soldier data hangs a target a distance of d = 104 m from the end of the barrel. The rifle is mounted so that the bullet Bullet drop, h (in exits moving horizontally at the same height as the bullseye. After six trials, the soldier tabulates the cm) values he measured for the vertical distance h from the bullseye to the bullet strike. 6.14 d 7.12 7.14 6.05 7.27 6.18 What is the most accurate muzzle velocity that the soldier can report to his sergeant? m/s Um =

An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2 at 200.0°. Assume that all angles are measured with respect to the positive x-axis. (a) Write the initial velocity vector and the acceleration vector in unit vector notation. (b) If the object maintains this acceleration for 12.0 seconds, determine the average velocity vector over the time interval. Express your answer in your unit vector notation.

The smal archerfish Dength 20 to 25 cm) lives in brackish waters of Southeast Asia from India to the Philippines. This aptly named creature captures its prey by shooting a stream of water drops at an insect. either flying or at rest. The bug falls into the water and the fish gobbles it up. The archerfish has high accuracy at distances of 1.2 m to 1.5 m, and it sometimes makes hits at distances up to 3.5 m. A groove in the roof of its mouth, along with a curled tongue, forms a tube that enables the fish to impart high velocity to the water in its mouth when it suddenly closes its gill flaps. Suppose the archerfish shoots at a target that is 2.40 m away, measured along a line at an angle of 30.0° above the horizontal. With what velocity must the water stream be launched if it is not to drop more than 5.00 cm verticaly on its path to the target? 22.65 Your response is within 10% of the correct value. This may

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 20 ft/s. 90 ft (a) At what rate is his distance from second base decreasing when he is halfway to first base? (Round your answer to one decimal place.) ft/s (b) At what rate is his distance from third base increasing at the same moment? (Round your answer to one decimal place.) ft/s Need Help? Read It

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Question 3 of 3: Rocky McBlock is a receiver for the Kennesaw Kilowatts in Metro Metric Football League.  In this league all distances on the field are measured in meters, and Rocky always runs straight up and down the field (there is no sideways motion - only motion towards and away from the end zone).  Rocky leaves the line of scrimmage when the ball is snapped and runs forward for 18 meters at a speed of 9 seconds.  He catches the ball and continues to run forward for 16 more meters in 12 seconds, at which point he reaches the end zone. What is his speed before he catches the ball?  What is his speed after he catches the ball?  What is his average speed for the whole play from the time he leaves the line of scrimmage until the time he reaches the end zone?

After losing control, a hot air balloon is adrift on the wind, and travels north for 4.1 km. the wind shifts and blows the balloon south for 10.8 km. After one more shift, it blows North for another 11.1 km. What is the magnitude of the resulatant displacement of the hot air balloon?

A bullet is fired through a board, 0.28 cm thick, with its line of motion perpendicular to the face of the board. If it enters with a speed of 50 m/s and emerges with a speed of 15 m/s, what is the bullet's acceleration in m/s as it

On a spacecraft, two engines are turned on for 908 s at a moment when the velocity of the craft has x and y components of v0x = 5150 m/s and v0y = 6290 m/s. While the engines are firing, the craft undergoes a displacement that has components of x = 2.85 x 106 m and y = 4.72 x 106 m. Find the (a) x and (b) y components of the craft's acceleration

In the presence of friction, the descending velocity v of the particle is determined as follows. mxdv/dt = mg-yv ap m =mg -yv dt (a) Predict v through dimensional analysis. (b) Solve the differential equation directly and compare it with the dimensional analysis. please. help...