Section 13.2: Problem 4 Previous Problem Problem List Next Problem (1 point) Solve the initial value problem for r as a vector function of t. Differential equation: = -6 + k dt2 Initial conditions: r(0) = 52 + 57 + 5k and dr 4i + 4j + 4k dt t = 0 Solution: T(t) =Section 13.2: Problem 5 Previous Problem Problem List Next Problem (1 point) A particle traveling in a straight line is located at point (6, -10, 10) and has speed 8 at time t = 0. The particle moves toward the point (2, 3, 3) with constant acceleration (-4, 13, -7) . Find its position vector r (t) at time t. r (t) =Section 13.2: Problem 6 (1 point)Abaseball is thrown from the stands 20 ft above the eld at an angle of 80 up from the horizontal. When and how far away will the ball strike the ground if its initial speed is 18 fsec? (Assume ideal projectile motion, that is, that the baseball undergoes constant downward acceleration due to gravity but no other acceleration; assume also that acceleration due to gravity is 32 feet per secondsquared.) seconds. The ball will hit the ground after The ball will hit the ground a horizontal distance of a! feet away. Section 13.2: Problem 7 (1 point) An electron in a TV tube is beamed horizontally at a speed of3.7 X 106 meters per second toward the face of the tube 33 cm away. How far will the electron drop before it hits? (Assume ideal projectile motion, that is, that the electron undergoes constant downward acceleration due to gravity but no other acceleration; assume also that acceleration due to gravity is 9.8 meters per second-squared.) The electron will drop ::: femtometers. (One femtometer is 10'15 meters.)