1) The light rail train starts from rest and speeds up at a rate of 1.70 m/s² for 13.0 seconds. It moves along a long, straight track. It goes at a constant speed for 80.0 s, and then slows down at a rate of 3.40 m/s² until it stops at the next station. a) Sketch the velocity as a function of time. b) Find the total distance that the train moves during this time.

4. Marcus throws a rock straight up into the air. It leaves his hand 1.2 meters above the ground, and it hits the ground 3.5 seconds later. Find a. the initial speed of the rock when it leaves his hand b. the maximum height the rock reaches before falling back down, relative to the ground c. the speed of the rock right before it hits the ground

A golf ball is dropped from rest from a height of 9.90 m. It hits the pavement, then bounces back up, rising just 6.30 m before falling back down again. A boy then catches the ball when it is 1.40 m above the pavement. Ignoring air resistance, calculate the total amount of time that the ball is in the air, from drop to catch. Number i Units

1. The acceleration of a car is given by a(t) = A – Bt + Ct² , where A = 1.0 m/s², B = 0.5 m/s³, C = 2.0 m/s“. The car is at rest at the origin at time t= 0. Find its position and velocity as a function of time. b. Sketch its position, velocity, and acceleration. a.

A pumpkin is shot straight up with an initial speed of 59 m/s. How long does it take to reach its maximum height, in seconds? Use g= 10 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. (No unit is needed in your answer, it is already given in the question

A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 23.0 m/s, and the distance between them is 55.0 m. After t₁ = 3.00 s, the motorcycle starts to accelerate at a rate of 7.00 m/s². The motorcycle catches up with the car at some time t2. Figure 1 of 1 car motorcycle x(1) car x(1) x(1) BRE car motorcycle motorcycle A time с time time motorcycle x(1) car car LE motorcycle B time D time How long does it take from the moment when the motorcycle starts to accelerate until it catches up with the car? In other words, find t₂ - t₁. Express the time numerically in seconds using three significant figures. ► View Available Hint(s) VE ΑΣΦ ? t₂-t₁= 1.58 Submit Previous Answers X Incorrect; Try Again; 4 attempts remaining Part C How far does the motorcycle travel from the moment it starts to accelerate (at time t₁) until it catches up with the car (at time t₂)? Should you need to use…

Ilya and Anya each can run at a speed of 7.60 mph and walk at a speed of 3.50 mph . They set off together on a route of length 5.00 miles . Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half. a) Find Anya's average speed. b) How long does it take Ilya to cover the distance? (in minutes) c) Now find Ilya's average speed. Thanks

A car accelerates at a constant rate from rest to 16 m/s in a distance of 74 m. What is the magnitude of its acceleration, in m/s2? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

A circular racetrack has a distance of 755 m. A racer is currently driving her car on the racetrack. As she starts the car from rest, it begins to accelerate to a speed of 120 kph in 9 s. a. Determine the magnitude of the total acceleration of the car, 4 s after the car begins to increase its speed. b. If she maintains the speed of the car to be 120 kph, determine the magnitude of the total acceleration of the car after 5s. c. Upon accelerating to 120 kph, will the car pass its starting point? Prove using kinematic equations.

Wyle E. Coyote hears a constant “Beep! Beep!” from around the corner of a cliff. Thinking it might be the Road Runner, he scampers up to speed and runs towards the sound to the East. On coming around the corner, he sees that it is not the Road Runner, but a truck coming towards him towards the West. The speed of the truck is 25 m/s. The speed of the Coyote is 100 m/s. The Coyote hears a frequency of 5500 Hz. The temperature of the air is 300 K. The mass of the truck is 1500 kg. The mass of the Coyote is 90 kg. Assume the air is an ideal gas with γ = 1.40 and the air molecules have a mass of 4.8*10-26 kg. The Boltzmann constant is k = 1.38*10-23 J/K. a. What is the speed of sound in this air? b. What is the original frequency of the horn on the truck? c. Assuming a perfectly inelastic collision, what is the final speed and direction of the truck, Coyote conglomerate (ignore any friction with the road)?