At time t = 0 a small ball is projected from point A with a velocity of 159 ft/sec at the angle 54°. Neglect atmospheric resistance and determine the two times t₁ and t₂ when the velocity of the ball makes an angle of 31° with the horizontal x-axis. 159 ft/sec

A baseball is thrown at an angle θ = 22° above the horizontal with an initial vertical velocity v0y = 13.5 m/s. Use a Cartesian coordinate system with the origin at the baseball's initial position. Calculate the initial horizontal velocity component, v0x in m/s.

A catfish is spotted at the bottom of a creek. The depth of the water is 2 m. A hunter (with no knowledge ofoptics) fires a rifle shot, directly aimed at the catfish. The bullet strikes the water at an angle of 40° to the water. Assumethat the bullet is not deflected by the air/water interface, what is the distance from the bullet hole at the bottom of the creekto the catfish?A) 0.88 mB) 0.97 mC) 0.49 mD) 0.56 mE) 0.73 m

A projectile is shot on level ground with ahorizontal velocity of 17 m/s and a verticalvelocity of 39 m/s. Find the time the projectile is in the air.The acceleration due to gravity is 9.8 m/s. Answer in units of s. Find the range R.Answer in units of m. Let the magnitude of v0 be the same as in part1, but consider the angle θ required to obtainthe maximum range.Find the height attained for the maximumrange.Answer in units of m.

A bullet is fired from ground level at 264 m/s and at an angle of 30.0°. Neglecting air resistance, answer the following questions: (a) What is the initial horizontal component of the velocity? Vix (b) What is the initial vertical component of the velocity? V₁y = (c) How high will the bullet rise? dymax m/s m/s Remember to round your answers to the correct number of significant digits.

Consider a projectile launched at a height h feet above the ground and at an angle ? with the horizontal. If the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations x = t(v0 cos(?)) and y = h + (v0 sin ?)t - 16t2.Let h=6, v0=63.25, and ?=0.79.  What is the range of the projectile (i.e., how far does it travel? Round your answers to two decimal places).

Use the technique of separating the problem into X- and Y- components to solve this problem: A Halloween prankster throws an egg out the window of an office building down onto the parking lot below. The egg is thrown with a velocity of 18 meters / second, at an upward angle of 23 degrees, and is release exactly 53 meters above the surface of the parking lot. The egg lands on the roof of a parked SUV, 2 meters above the surface of the parking lot. Using a gravitational constant, g, of 9.8 meters / second² calculate the following: 1) The time it takes for the egg to hit the parked SUV. (seconds) 2) The total distance away from the building that the egg lands. (meters)

A secret agent skis off a slope inclined at θ = 32.7 degrees below horizontal at a speed of v0 = 18.6 m/s. He must clear a gorge, and the slope on the other side of the gorge is h = 15.3 m below the edge of the upper slope. 1)What is the maximum width, w, of the gorge (in meters) so that the agent clears it?

A baseball is hit with an initial speed of 45 m/s at an angle of 33° relative to the x (horizontal) axis. (a) Find the speed of the ball at t = 3.0 s. m/s (b) What angle does make with the x axis at this moment? ° (counterclockwise from the +x-axis) (c) While the ball is in the air, at what value of t is the speed the smallest? S

For an interesting physics field trip, we visit Tahquamenon Falls in the Upper Peninsula. We measure the horizontal speed of the water at the top of the falls to be 3.00 m/s. How far vertically below the top edge of the falls does the velocity vector of the water point downward at a 59.3 degrees angle below the horizontal?