3. You are given the following data. (10 pts) Time, t [s] 01 2 3 4 5 6 7 8 Position, x [m] 0 3.8 4.6 1.95 -1.95 -4.18 -3.20 0.07 3.09 (a) By hand, compute the velocity at t = finite difference method. (5 pts) 5 using a second order accurate P (b) By hand, compute the acceleration at t = 3 using a difference method. (5 pts) 2 Second 5:2 order accurate finite

A particle P projected from a point O on horizontal ground hits the ground after 2.4 seconds. The horizontal component of the initial velocity Of P is ms¯l. (a) Find, in termsofd, the horizontal distance ofPfrom O when it hits the ground. (b) Find the vertical commM1ent of the initial velocity of P. P just clears a vertical wall which is situated at a horizontal distance dm from O. (c) Find the height of the wall. The speed of pas it passes over the wall is 16m (d) Find the value Of d correct to 3 significant figures, o_2kg

I got 72 for this question by 3*(10+8+6). Isn't this the LRAM and the n is b-a/n which is 3. The answer is 54 and I don't get it.

6) During each cycle, the velocity v (in mm/s) of a piston is v = 6t - 6t², where t is the time (in s). Find the displacement s of the piston after 0.75 s if the initial displacement is zero. 7) A person skis down a slope with an acceleration (in m/s²) given by 600t a = (60 + 0.5t2)² where t is the time (in s). Find the skier's velocity as a function of time if the initial velocity is zero.

A particle moving along a straight line has acceleration a(t) = 12t + 10 (measured in m/s2) and initial velocity v(0) = -4 m/s. (a) , Find the velocity at time t. Show your work. (b) Find the distance traveled during the time interval [1,3] . Show your work. (c) Find the average velocity during the time interval [1,3] . Show your work. (d) .. Sketch a possible graph of the position function. Annotate your plot.