Please solve questions #67-#72. Please make sure to write every steps and the solution written out clearly. Thank you

(2) Physical Sciences eed Exercises 67-71 refer to Example 11 in this section. 67. Velocity For a particular object, a(1) - 512 + 4 and cer v(0) = 6. Find v(t). 68. Distance Suppose v(1) = 9/2 - 3 Vr and s(1) - 8. Find s ( 1 ) . id k 69. Time An object is dropped from a small plane flying at 6400 ft. Assume that a(t) = -32 ft per second and v(0) = 0. Find s(t). at a How long will it take the object to hit the ground? ells 70. Distance Suppose a(1) = 181 + 8, v(1) = 15, and s(1) = 19. Find s(t). ells 71. Distance Suppose a(t) = (15/2) Vi + 3e , v(0) =-3, and - s(0) = 4. Find s(t). of 72. Motion Under Gravity Show that an object thrown from an initial height ho with an initial velocity vo has a height at time f given by the function h (t ) = 2812 + vol + ho. con- e in where g is the acceleration due to gravity, a constant with value -32 ft/sec2. 73. Rocket A small rocket was launched straight up from a plat