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Sample Problem 1 – Speed Tesla, Inc. is testing their new Tesla Cybertruck by testing its speed. The research team’s goal for speed is 100 km/hr. The Cybertruck is travelling along the test runway for 15 minutes with a distance of 30 kilometers. What is the speed of the Tesla Cybertruck? Did the research team achieve their goal? Given: Speed =? Distance = 30 kilometers Time = 15 minutes Formula: Speed = d t Solution: Speed = 30 km 15 mins Conversion of 15 mins to hour = 15 mins × 1 hr 60 mins = 15 mins 60 mins = 0.25 hr Speed = 30 km 0.25 hr = 120km/hr Final answer
Sample Problem 2 – Speed Tesla, Inc. is comparing their new Tesla Cybertruck with their Tesla Roadster by testing its speed. The length of the track is 5 kilometers. The Cybertruck is travelling with speed of 105 km/hr while the Roadster is travelling with speed of 120 km/hr. How much time did it took for the Tesla Roadster to reach the finish line? How much time did it took for the Tesla Cybertruck to reach the finish line? Which car took the shortest time to reach the finish line? Given: Speed of Roadster = 105 km/hr Speed of Cybertruck = 120 km/hr Distance = 5 kilometers Time =? Formula: Speed = d t Time = d s Solution: (Tesla Roadster) Time = 5 km 120 km/hr = 0.041 hr Solution: (Tesla Cybertruck) Time = 5 km 105 km/hr = 0.047 hr \
Sample Problem 2 – Velocity Flash was instructed by Batman to protect the civilians. Flash runs to West for 3500 meters, then he realizes that he is running to the opposite direction. He turns around and runs 1800 meters to East. The entire run took Flash 5.5 seconds. What is the average velocity of Flash? Given: Average Velocity =? Displacement = 3500 m – 1800 m = 1700 m, West Time = 5.5 seconds Formula: Velocity = Displacement Time Solution: Velocity = 1700 m, W 5.5 secs = 309.09 m/s W
Sample Problem 1 – Acceleration Tony Stark is testing the new thrusters of his suit Mark 50. The suit starts from a rest to 107 m/s, Northwest in 3.7 seconds. What is the acceleration of the new suit? Given: Acceleration =? Vi = 0 m/s Vf = 107 m/s Time = 3.7 seconds Formula: Acceleration = Vf - Vi Time Solution: Acceleration = 107 m/s – 0 m/s 3.7 secs = 107 m/s 3.7 secs = 28.92 m/s^2
Activity – Acceleration Problem: Joe Gibson Jr. is practicing his baseball pitches with his catcher. The baseball starts 42 m/s at when it was released from Joe’s hand then it reaches 0 m/s as it reaches the catcher’s glove in just 2.1 seconds. What is the acceleration of the baseball? Given: Acceleration =? Vi = 42 m/s Vf = 0 m/s Time = 2.1 seconds Formula: Acceleration = Vf – Vi/Time Solution: Acceleration = 0 m/s – 42 m/s/2.1 secs = -42 m/s / 2.1 secs = -20 m/s^2
Activity – Velocity Problem: The Triage X was informed about a gang incident at 17 kilometers, Southeast. They rode their motorcycle and reached the place in just 12 minutes. What is the average velocity of their motorcycle? Given: Average Velocity =? Displacement = 17 kilometers, Southeast Time = 12 minutes Formula: Velocity = Displacement/Time Solution: Velocity = 17 km, SE/12 minutes Conversion of 17 kilometers to meters = 17 km × 1000 m/1 km = 17000 m Conversion of 12 minutes to seconds = 12 mins × 60 secs/1 min = 720 m Velocity = 17000 m, SE/720 secs = 23.61 m/s SE
Vf = Vi + at Astraea is on her way to work, riding her bicycle. She is cycling at a constant speed of 7 m/s and an acceleration of 1.4 m/s^2. She noticed that she will be late if she continues on that pace, so Astraea went faster in 4 seconds. What is his current velocity? Given: Vi = 7 m/s a = 1.4 m/s^ T = 4 secs Vf =? Formula: Vf = Vi + at Solution: Vf = 7 m/s + (1.4 m/s^2 × 4 secs) = 7 m/s + (5.6 m/s) = 7 m/s + 5.6 m/s = 12.6 m/s Final Answer: On her way to work, Astraea’s bicycle had a current pace of 12.6 m/s, from its initial speed of 7 m/s and acceleration of 1.4 m/^2.
d = [(Vi + Vf) t] / 2 Nyx is a Grabfood delivery man. His motorcycle has a constant speed of 13 m/s. What is the displacement of his motorcycle when he decided to go faster in order for him to reach his quota for that day with a speed of 17. m/s in just 54 seconds? Given: Vi = 13 m/s T = 54 seconds Vf = 17.3 m/s d =? Formula: d = [(Vi + Vf) t] / 2 Solution: d = [(13m/s + 17.3 m/s) 54 seconds]/ d = (30.3 m/s × 54 seconds)/ d = 1636.2 m / 2 d = 818.1 m Final Answer: Nyx’s motorcycle had a displacement of 818.1 m.
d = (Vft) - (½ at^2) Problem: The Chevrolet Corvette driven by Selene is travelling at a current velocity of 32 m/s. What is the displacement of Chevrolet Corvette if it has an acceleration 7.2 m/s^2 in 6 seconds? Given: Vf = 32 m/s a = 28 m/s^ t = 6 seconds d =? Formula: d = (Vft) - (½ at^2) Solution: d = [(32 m/s) (6 secs)] - [½ (7.2 m/s^2) (6 secs) ^2] d = 192 m - 129.6 m d = 62.4 m Final Answer: The Chevrolet Corvette driven by Selene had a displacement of 62.4 m.
