A cannon is fired from Fort George towards Fort Niagara during the War of 1812. Fort George is on a 100 meters cliff above level ground. The launch speed of the canon is 100m/s at an angle of 20 degrees. Assuming no air resistance. Determine: 1. how long the cannon ball will be in the air? 2. the peak height of the canon ball. 3. if the ball will clear the Fort Niagara wall of 10 m (the wall is 850 m away from the base of the cliff) 4. the range with no wall to possibly impede the canon ball

A ball is thrown upward from the top of a tall building so that it lands on the ground at the base of the building. The ball reaches a maximum height of 105 m above the ground. The ball is in the air for a total of 5.32 s. Air resistance can be neglected. Use up as the +y-direction and down as the -y-direction.  What is the initial velocity of the ball?   What is the height of the building?  What is the velocity of the ball, just before it hits the ground?

Part A = The integral with respect to time of a force applied to an object is a measure called impulse, and the impulse applied to an object during a time interval determines its change in momentum during the time interval. The safety of a t-shirt launcher, used to help get crowds cheering at baseball games, is being evaluated. As a first step in the evaluation, engineers consider the design momentum of the launched t-shirts. The springs in the launcher are designed to apply a variable force to a t-shirt over a time interval of t 0.5 s. The force as a function of time is given by F(t) = at² + b, where a = −28 N/s² and b = 7.0 N. The momentum of the t-shirt will be its initial momentum (po = 0) plus its change in momentum due to the applied impulse: pf = po+ St-F(t) dt. By applying the given time dependent function for F(t) and performing the integration, which of the following is the correct expression for pf? ▸ View Available Hint(s) rt=tL 0+(1/3+ ³ + b) 10/20 tL Pf= ○ tL 0+ (13) 기함 a…

A car is parked on a cliff overlooking the ocean on an incline that makes an angle of 18.0 below the horizontal. The negligent driver leaves the car in neutral, and unfortunately the emergency brakes are defective. The car rolls from rest down the incline for a distance of 30.0 m to the edge of the cliff, which is 45.0 m above the ocean. Ignore air and road resistance forces.A. . What is the velocity when the car hits the water?