PHHYA10S-Test-1-SOL-2023-grading

PHYA10F – TEST#1 Sample Solution 1 Instructor: Prof. Salam Tawfiq Oct. 14, 2023 Time: 90 Minutes Note: Write your official name as it appeared in ACRON and write your practical group number and/or name of your TA. Falling to do so, 2 points will be deducted. You may use a non-programmable calculator and one aid sheet. The aid sheet must be hand-written on a normal (8.5 by 11) page, one side is acceptable with a maximum of 20 equations . It should contain formulae only no definitions, graphs, explanation or problems and will be collected at the end of the test. No other aids are allowed. This includes neighboring students. Cell phones and other electronic devices will be confiscated if they make noise or if you are using them. Answer all the questions. There are 10 multiple-choice (MC) questions and 3 short answer questions & problems. The multiple-choice questions are worth 3 mark each. The short answer questions and problems are worth 10 marks each. The test is out of a total of 60 marks. Do not remove the staple. There are a couple of blank sheets at the end for rough work; you may carefully remove them if you wish. You have a total of 90 Minutes to write this test. You are advised not to spend more than 4 minutes on each question on part-A of the test and not more than 14 minutes on each question of part-B. Do not open this booklet before the Test begins. Part-A (MC) /30 Part-B Q1 /10 Q2 /10 Q3 /10 Total Out of 60 GOOD LUCK

PHYA10F – TEST#1 Sample Solution 2 Fill in the table below with your best choice for part A Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 C C E B A A C C Q9 Q10 A B Provide your solution for part-B in the space provided.

PHYA10F – TEST#1 Sample Solution 3 Part-B: Problem Solving Q1: (10 points total) A. i. What is the rocket's maximum altitude? The maximum altitude is In the acceleration phase: In the coasting phase, The maximum altitude is 54.8 km ii. How long is the rocket in the air before hitting the ground? Then is found by considering the time needed to fall 54,800 m: iii. Draw a clear velocity-time graph for the rocket from liftoff until it hits the ground. On the graph, identify the time when the rocket runs out of fuel, max altitude & hitting the ground. a = − g . y 2 . y 1 = y 0 + v 0 ( t 1 − t 0 ) + 1 2 a ( t 1 − t 0 ) 2 = 1 2 at 1 2 = 1 2 (30 m/s 2 )(30 s) 2 = 13,500 m v 1 = v 0 + a ( t 1 − t 0 ) = at 1 = (30 m/s 2 )(30 s) = 900 m/s v 2 2 = 0 = v 1 2 − 2 g ( y 2 − y 1 ) ⇒ y 2 = y 1 + v 1 2 2 g = 13,500 m + (900 m/s) 2 2(9.8 m/s 2 ) = 54,800 m = 54.8 km ( ≈ 33 miles). v 2 = 0 m/s = v 1 − g ( t 2 − t 1 ) ⇒ t 2 = t 1 + v 1 g = 122 s t 3 y 3 = 0 m = y 2 + v 2 ( t 3 − t 2 ) − 1 2 g ( t 3 − t 2 ) 2 = y 2 − 1 2 g ( t 3 − t 2 ) 2 ⇒ t 3 = t 2 + 2 y 2 g = 228 s 2 points 2 points 2 points