In a video game, a science-fictional “angry bird” is launched straight upwards by a high-velocity cannon from the surface of a planet far from Earth. The bird’s initial vertical velocity is 249 m/s (up). If gravity around this planet is a constant 11.2 m/s2, and the video game does kinematics correctly, how much time does it take the bird to reach the top if its trajectory?

A car drives around a circular track of diameter 161 m at a constant speed of 47.4 m/s. During the time it takes the car to travel 256 degrees around, what is the magnitude of the car s average acceleration?  Hint: Do not calculate instantenous accelleration. Instead calculte the average acceleration over the fraction of a complete lap. Average acceleration equals change in velocity divided by change in time, and that this is a two-dimensional situation so you'll have to calculate the x and y components of the average acceleration first and then figure out the magnitude.  Remember also that ax = Δvx/Δt and ay = Δvy/Δt.     0 m/s^2     27.91 m/s^2     13.96 m/s^2     9.84 m/s^2

A Doctors without Borders Cargo plane drops a large package of relief medical supplies as it is moving with a horizontal velocity vx = 250. m/s at a height above the flat ground of y=693m. What is the y component of the final velocity of the package in m/s just before it hits the ground?

On a distant planet, a ball is thrown downward from a height of 12 m.  The ball has an initial speed of 4.0 m/s.  If the ball hits the ground in 2.0 seconds, what is the planet's gravitational acceleration?

Bipin

Elon Musk’s SpaceX is proposing that commercial flights will be ready to go to the Moon in less than three years. Yusaku Maezawa, a Japanese billionaire, is seeking eight artists to join his trip to the Moon. He wants them to inspire everyone by creating artwork after they return to Earth. The acceleration due to gravity on the surface of the Moon is 16.6% of the acceleration due to gravity on Earth. To keep the artists comfortable, it is decided that as they lift off from the Moon, the acceleration they experience close to the surface of the Moon should be kept to the equivalent of 2.83 g (1?is the acceleration due to gravity on the surface of the Earth). What is the maximum thrust that one of the new rockets from Part 2 can withstand under this condition? Note: The weight of the artists is negligible compared to the weight of the rocket (given in part 2), so you can ignore it in your calculations!

A particle moves in a circular path at constant speed. The initial location of the particle is (4.24 m, 6.05 m) at t = 4 s. The velocity of the particle at this time is 3.02 m/s 3 (i.e., directed along the positive y-axis). Acceleration at this time is along the +x axis. At t=10.6 s, v is -3.02 m/s i and the acceleration is directed along the +y axis. Find the radius of the circle. For this problem assume the time interval is less than one full period. T Find the x-coordinate of the center of the circle (in meters): Xcenter m = m Question Help: Read

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