Can someone check if I did 1 and 2 correctly?And please if possible help me understand how I'd tackle questions 3? I'm completely lost.

NO W MATH 100 Initial Value Problems Exercises: 1. If f' (x) = 5et and f(0) = 10, then find f (x). 2 . If f" (ac) = 5, f' (0) = 7, and f(0) = 3, then find f(x). * 3. An object is dropped from a height of 1000 ft. Find its velocity when it strikes the ground. Note: The acceleration due to gravity is a(t) = -32 ft/sec2. 4. An astronaut on the moon (acceleration due to gravity ~ 5.3 ft/sec2) throws a stone up with an initial velocity of 60 ft/sec. Find the stone's maximum height. D. fix ) = 5ex > 5ex + C and of ( * ) = ? - 5e*+ 5 flo) = 10 of(c) = 5 e - + C = 10 -> 5+ c = 10 -> C= 5 2 . ) f" ( x ) = 5 -> 5 x + C and of ( x) = ? - 5 x + 7 - 5 x+ 7 x+ C f ( 0 ) = 7 -> flo) = 5 (0)+ ( = 7 -> c= 7 and J f ( x ) = ? - - 5 x+7 *+ 3 f ( o ) = 3 - > flo) = 5 () + 7( + c = 3 -> c = 3 height = 1cooft V ( t ) = - 32 -> v ( t ) = ? alt ) = - 32 ft/sec 2