A ball is projected with velocity 10 m/sec at angle of 30° with the horizontal surface. The speed of the ball after 1 second will be (Use g=10m/sec²).

The banded archerfish is a species of fish that lives in mangrove estuaries in Asia and Oceania. It has a unique and highly effective hunting strategy: it shoots an incredibly precise stream of water out of its mouth at almost ten meters per second, knocking insects and other small animals into the water from nearby branches! Pom Fbug (t) Ө = Our hero, a hungry archerfish, has spotted a big, delicious bug sitting on a branch a height ħ above the surface of the water. The archerfish can shoot its water jet at a speed of vo. The archerfish wants to knock the bug sideways off of the branch, so it decides to shoot so that its water jet is moving horizontally at the moment when it strikes the bug. The final goal of this problem is to find the horizontal distance, d, from the branch, and the angle above horizontal, 0, at which archerfish should shoot. d (a) What are the position and velocity of the water droplet as a function of time and the position and velocity of the bug as a function of…

A jetliner is moving at a speed of 245 m/s. The vertical component of the plane's velocity is 40.6 m/s. Given sin e = 0.165, the angle theta is equal to: Select one: O e = 10.0° e = 9.5° e = 11.5° e = 11.0° O O

A ball is released from rest at the top of an incline whose height 19.1 centimeters and base 59.3 centimeters. Taking x0 = 0 at the top of the incline, the horizontal location (along the base, in centimeters) of the ball after 0.552 seconds is:

Solve the quadratic equation  3.00t2 − 4.00t − 6.00 = 0  using the quadratic formula, finding both solutions.

A ball is released from rest at the top of an incline whose height 7.6 centimeters and base 59.2 centimeters. Taking x0 = 0 at the top of the incline, the horizontal location (along the base, in centimeters) of the ball after 0.56 seconds is:

An object is launched at a velocity of 35 m/s in a direction making an angle of 53 degrees upward with the horizontal. What is the horizontal range of the object in m?

You are stationary on the ground and are watching a bird fly horizontally towards you at a rate of 1 m/s. The bird is located 20 m above your head. How fast does the angle of elevation of your head change when the horizontal distance between you and the bird is 50 m? (Leave your answer as an exact number.)

the muzzle velocity of a new cannon. It was 289 m/s. Now the cannon is deployed and the military engineers have determined the walls of the fort are 1609 meters away. If the artillery crew aims for 1611 m, the cannonball should hit the center of the wall. At what angle should the artillery crew fire the cannon to hit the walls? (Ignore the height of the cannon and assume the cannonball is fired from ground level. Also, you will need 2sinθcosθ = sin(2θ).)[Using the range equation is UNACCEPTABLE. You must solve the problem from scratch showing all of your work along the way.]

A drone's velocity at two times 10 s apart is given by the following vectors: ( 7 17 ) m/s ( 12 3 ) m/s Find the direction of the change in velocity vector . Take to the right as +x and up as +y. Give answer between zero and 360 degrees counterclockwise from the +x axis. Make sure you get the correct quadrant and that your calculator is in degrees.