Question 1 a) Explain the motion of a projectile in terms of acceleration and velocity in vertical and horizontal direction. b) Determine the magnitude VA of the basketball's initial velocity and its velocity when it passes through the basket shown in Figure Q1(b). (Neglect the size of the ball 30° 2 m B 3 m

Please solve for all and explain each step please

A mass, m = 1 Kg and initial velocity u =10m/s moving to the right collides with another mass, m2=1 Kg and initial velocity U2= 10m/s moving to the left as shown in the figure below. Find the velocities (vi and v2) of the two masses after collision assuming a perfectly elastic collision. (Hint: Use both conservation of momentum and conservation of energy). a, =10m/s Uz = -10m/s %3D m2 = IKg M= 0 NOTE U, is along +n, tahen as 10mis Uz is along - n, theefave take it at - 10m/s

A truck carries a crate which can slide. Suppose that the truck and the crate are initially traveling to the right with velocity Vo, and the distance between the front of the crate and the front of the trailer given as do. The brakes are applied so that the truck decelerates with constant acceleration and stops in time t a.) Express the truck's acceleration ar ts e.) Integrate equations (1) once and use initial velocity and the continuity of the relative velocity function d dot(t) at t, to find the velocity of the crate at the moment when the truck stops: d dot(t,)--Vats.Express it in terms of given quantities [see the list in (b)]. f.) Let the initial distance be given as do. Integrate the equations for velocities from (e) and use the initial conditions and continuity of d(t) at ts, to find the crate stopping time tcs and the crate stopping distance des g.) Using the results from (f), determine the minimum value of μ (in terms of do, ts, g, and v ) so that the crate does not hit the…