A projectile is fired with an initial speed of 550 m/sec at an angle of elevation of 30". Answer parts (a) through (d) below.a. When will the projectile strike? sec (Round to one decimal place as needed.) b. How far away will the projectile strike? m (Round to the nearest meter as needed.) c. How high overhead will the projectile be when it is 5 km downrange? m (Round to the nearest meter as needed.) d. What is the greatest height reached by the projectile? m (Round to the nearest meter as needed.)A spring gun at ground level fires a golf ball at an angle of 45". The ball lands 10 m away. The acceleration due to gravity is g =9.8 m /s". What was the ball's initial speed? For the same initial speed, find the two firing angles that make the range 8 m. The initial speed of the ball is 9.90 m/sec. (Round to the nearest hundredth.) The two firing angles are degrees. (Round to the nearest tenth. Use a comma to separate answers as needed.)A model train engine was moving at a constant speed on a straight horizontal track. As the engine moved along, a marble was fired into the air by a spring in the engine's smokestack. The marble, which continued to move with the same forward speed as the engine, rejoined the engine 1 sec after it was fired. The measure of the angle the marble's path made with the horizontal was 52". Use the information to find how high the marble went and how fast the engine was moving. The marble's maximum height was 4 ft. (Type an exact answer. Type an integer or a decimal.) The engine's velocity was fu/sec. (Type an integer or decimal rounded to the nearest hundredth as needed.)Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. 3/2 r(t) = 4ti + t k, Osts33 4 The curve's unit tangent vector is k. 16 +t i + (0)j+ /16 +t (Type exact answers, using radicals as needed.) The length of the indicated portion of the curve is units. (Type an integer or a simplified fraction.)