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- An object is projected straight upwards with an initial velocity U. If T is the time taken to return to the point of projection, H is the maximum height and g is the acceleration due to gravity, derive how to solve for: (a.) time of flight, T, and (b.) the maximum height, H, that the projectile can achieve.Consider the velocity functionfor an object moving along a line as shown.Describe the motion of the object over the interval [0, 6].Find c using a kinematic equation
- Use a graphing utility to generate the trajectory of a paper airplane whose equations of motion for t ≥ 0 arex = t − 2 sin t, y = 3 − 2 cos t Assuming that the plane flies in a room in which the floor is at y = 0, explain why the plane will not crashinto the floor. [For simplicity, ignore the physical size of the plane by treating it as a particle.] How high must the ceiling be to ensure that the plane does not touch or crash into it?The velocity vector in a flow is given by: V = 3xi + (2-4y)j – 7zk. Determine the equation passing through a point L(1, 3, 3)It describes the motion of a particle by lines ofsight from an arbitrary origin to the successivepositions of the particle.a. Pathb. Position Vectorc. Rectangular Coordinatesd. Position Coordinatee. None of the above
- Only part d and e is askedParticles A and B move to the right along a horizontal line. They start at a point O, s meters isthe directed distance of the particle from O at t seconds, and the equations of motion for particlesA and B are s = 4t2 + 5t and s = 7t2 + 3t, respectively. If t = 0 at the start, for what values of twill the velocity of particle A exceed the velocity of particle B?Given two displacement vectors A=(3.00i-4.00j-4.00K)m and B=(2.00i+3.00j-7.00K)m , find the displacements and their magnitudes for (a) C=A+B and (b) D=2AB .
- The position of a particle change is literally with time, I.e. as one power of t, as given by the following: h(t) =(3.3 t + 6.3) meters. Find the speed of the particle in meters per second. I need some help with finding the velocity in section 1.1, and also solving 1.2. I believe the projection angle is 45 degrees. Thanks!A Canada goose flew 1.45 km [15.0 ̊ S of W] to feed, then it flew 1.64 km [70.0 ̊ S ofE] to its roosting location. Determine the goose’s displacement, using thegraphical/tip-to-tail method of vector addition. Answer to two significant digits.