5. (1 point) Findfiff\"(x) = 2+cos(x), f(0) = 10, f(TE/2) = 10. f(x) = 6. (1 point) Let s(t) denote the position of a particle at time t, and let v and a be the velocity and acceleration respectively. The particle is moving according to the data v(t) = 1.5%, s(4) = 3. Find a function describing the position of the particle. 30') = 7. (1 point) A stone was dropped off a cliff and hit the ground with a speed of 120 ft/s. Using the fact that acceleration due to gravity is 32ft/s2, what is the height (in feet) of the cliff? Height of cliff = feet 8. (1 point) A car is traveling at 100 km/h when the driver sees an acci- dent 80 m ahead and slams on the brakes. What constant accel- eration (in km/hz) is required to stop the car in time to avoid a pileup? (Remember that acceleration is negative!) Constant acceleration = km/hz