In a fireworks display, a firecracker is launched at an angle from the top of a...

In a fireworks display, a firecracker is launched at an angle from the top of a high tower of height h0 = 50.0 m. As a result of the firecracker’s design, its position coordinates are of the form x(t) = A + Bt 2 and y(t) = C + Dt 3 , where A, B, C, and D are constants. The acceleration of the firecracker 1.00 second after firing is = (4.00î + 3.00ĵ) m/s 2 . Taking the origin of the coordinates to be at the base of the tower:

a. Find the constants A, B, C, and D, including their SI units.

b. At the instance the firecracker is launched, what are its velocity and acceleration?

c. What are the x and y components of the firecracker’s velocity 10.0 s after it is fired and with what speed is it moving?

d. What is the position vector (in component form) of the rocket 10.0 s after being fired?

Expert Solution

using the given position coordinates after firecracker launches and taking origin to base of tower,constants can be calculated by differentiating coordinate and comparing with acceleration at t=1 sec.

genius_generous answered 2 years ago

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