A projectile is shot from a height 1.0 m above the ground with a speed of 30 m/s at an angle of 45.0∘, and it lands on top of a 13.0m tall building. a.) How far away is the building (in the horizontal direction)?

A secret agent skis off a slope inclined at θ = 28.3 degrees below horizontal at a speed of v0 = 17.4 m/s. He must clear a gorge, and the slope on the other side of the gorge is h = 11.9 m below the edge of the upper slope. a.)What is the maximum width, w, of the gorge (in meters) so that the agent clears it?

A helicopter blade spins at exactly 110 revolutions per minute. Its tip is 9.5 m from the center of rotation. A. What is the average speed of the blade tip in the helicopter's frame of reference, in meters per second?  B. What is the average velocity over one revolution, in meters per second?

Professional golfers can drive the ball over 200 m. While air resistance is significant, its effects are nearly canceled because lift is gained from backspin on the ball, and so a reasonable description of the ball’s trajectory is obtained if air resistance is neglected. Suppose a golfer hits a ball 200 m on level ground, giving it an initial velocity at an angle of 45o. The duration of the impact of the club and ball has been measured to be 1.00 ms. c) Find the average force exerted by the club on the ball. d) Find the average shear deformation of the club's 0.800 m long and 1.00 cm diameter steel shaft.

I throw a ball to my dog at h = 1.8 m above the ground, with initial velocity v0 = 10.25 m/s at an angle θ = 31° above horizontal. Assume the ballencounters no air resistance, and use a Cartesian coordinate system with the origin located at the ball's initial position.a. My dog jumps up in the air and catches the ball at the same height that Ithrew it. Create an expression for the time, tf, the ball is in the air in terms of v0, θ, g, and h. b. Calculate the horizontal distance, d in meters, between me and my dog

A person swings from a trapeze, projects herself at angle of 53 degrees, and is supposed to be caught by person B, whose hands are 6.1m above and 8.2m horizontally from persob A's launch point.  a. What initial speed must Person A have just to reach person B? b. If person B misses person A completely as she flies past, how far horizontally does person A travel, from her initial launch point, before landing in the safety net 8.6m below her starting point? PROVIDE ILLISTRATION

An arrow is shot from a height of 1.75 m toward a cliff of height H. It is shot with a velocity of 32 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 3.65 s later.a. what is the maximum height reached by the arrow along its trajectory in meters?b. what is the arrows speed just before hitting the cliff in m/s?

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…

Q1-A 2.0 meter tall basketball player is standing on the floor a distance from the basket. He shoots the ball at an angle of 23 degrees above the horizontal with a speed of 9.6 m/s and makes the shot. If the ball goes in the hoop at 5 seconds, what is the height of the hoop?

A projectile is fired from a point 50 meter from a tall cliff at 75 m/sec and at angle of 50 degrees above the horizontal. It will strike the cliff at a point h above the cliff base. What is h? What is the final speed of the projectile when it hits the cliff in the problem above?