A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8 m/sec4, and the muzzle velocity, vo = 500 m/sec, at which the projectile leaves the cannon. The angle 0, in degrees, between the muzzle of the cannon and the ground can vary. The range of the projectile is f(e) = = 25,510 sin 90 meters. 90 sin (a) Find the range with 0 = 10. Round your answer to the nearest whole number. Range = i meters eTextbook and Media (b) Find a linear function of 0that approximates the range for angles near 10°. Specifically, fill in the missing numbers below for the local linearization of f at e = 10°. Round your answers to the nearest whole number. f(0) i - (0 - 10) meters eTextbook and Media (c) Find (1) the range and (Ili) its approximation from part (b) for 11". Round your answers to the nearest whole number. (i) Range meters. (ii) Approximate Range meters.

3.31 m cannot be the answer?

Vector A is in the direction 39 0° clockwise from the -y-axis. The T-component of A is A, = -12.0 m.

A hiking girl needs to go 39.2 km straight North to get to base camp, instead the compass confuses her and she travels 17.248 km at a 3.9° deflection East from straight North.  Then she realizes what she has done and so guesses an angle of 17.8° deflection West of straight North and then hikes 30.576 km.  What is the magnitude of her displacement from where she is now located to base camp. (put your answer is standard units)

An airplane is travelling at 620 km/h on a heading of 305°. The wind of 80 km/h is flowing from a bearing of 260º. Determine the ground velocity of the boat. You can use trigonometry method or rectangular components method, but the final answer needs to be written in the same form as the original question.

Obtain expressions in component form for the position vectors having the following polar coordinates. (a) 12.2 m, 140° counterclockwise from the +x axis R = m (b) 3.80 cm, 80.0° counterclockwise from the +x axis R cm (c) 20.0 in., 222° counterclockwise from the +x axis in.

A woman walks 171 m in the direction 32° east of north, then 161 m directly east. Find (a) the magnitude and (b) the angle (from due east) of her final displacement from the starting point. (c) Find the distance she walks.

The citizens of Paris were terrified during World War I when they were suddenly bombarded with shells fired from a long-range gun known as Big Bertha. The barrel of the gun was 36.6 m long, and it had a muzzle speed of 2.20 km/s. When the gun’s angle of elevation was set to 55.0°, what would be the range? For the purposes of solving this problem, ignore air resistance. (The actual range at this elevation was 121 km; air resistance cannot be ignored for the high muzzle speed of the shells.) km

A pilot flies with a plane 20 km northward with an angle of 60 east ➚ , then 30 km to the east ⮕ , then 10 to the  north ⬆ , what is its distance from the start and what is its direction

v sin 20 gives the distance x travelled (in feet) by a projectile launched from 32 The formula r% = the ground, with initial velocity v (in feet/sec) and initial angle 0 (in radians or degrees). a. Write an expression for the total differential in x. b. Use the total differential to estimate the error in calculating the range of a projectile with initial velocityv 100 ft/sec and initial angle 0= 50 degrees, with measurement errors of dv = t10 ft/sec (for velocity) and d6==5 degrees (for the initial angle). (Note: remember to use radians for the differential in 0.)