Classes are canceled due to snow, so you take advantage of the extra time to conduct some physics experiments. You fasten a large toy rocket to the back of a sled and take the modified sled to a large, flat, snowy field. You ignite the rocket and observe that the sled accelerates from rest in the forward direction at a rate of 12.5 m/s2 for a time period of 3.50 s. After this time period, the rocket engine abruptly shuts off, and the sled subsequently undergoes a constant backward acceleration due to friction of 5.65 m/s2

8. A 200 kg weather rocket is loaded with 100 kg of fuel and fired straight up. It accelerates upward at 30 m/s² for 30 s, then runs out of fuel. Ignore any air resistance effects. (a) What is the rocket's maximum altitude? (b) How long is the rocket in the air before hitting the ground?

The first active volcano observed outside the earth was discovered in 1970 on Io, one of the moons of jupiter. The volcano was observed ejecting material to the height of about 3x105m. Given the acceleration of gravity on Io is 1.8 m/s2. Find: a. The initial velocity of the ejected material. b. What is the velocity at half that height?

Alice and Tom dive from an overhang into the lake below. Tom simply drops straight down from the edge, but Alice takes a running start and jumps with an initial horizontal velocity of 25 m/s. Neither person experiences any significant air resistance. Just as they reach the lake below (select all answers that are true)   Group of answer choices: None of the above choices are correct. they will both have the same speed. the speed of Alice is larger than that of Tom. Alice reaches the surface of the lake first. They reach the surface of the lake at the same time. Tom reaches the surface of the lake first. the speed of Tom is larger than that of Alice.

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.

This time you drop a ball from a height of 1.82 m and it hits the floor 0.365 s after you drop it. This time you suspect you are on a rocket that has just left the surface of the Earth, and is still not too far above the ground. What do you deduce the rocket s acceleration to be?     27.3 m/s^2     33.3 m/s^2     17.5 m/s^2     37.1 m/s^2

Fast Car: On a hot day in the flats, the temperature is 103.6 degrees. A driver finds an empty, flat stretch of desert that is 1776 meters long and decides to push the limits of his car. He finds the car can accelerate from 0 to 60 mph (26.8 m/s) in 4.30 s. Now he wants to see how fast the car can go. Assume the car maintains the same average acceleration until it reaches its top speed of 84.8 m/s. (a) How long will it take the car to reach its top speed? (b) How far will the car travel before it reaches its top speed?

You and your family are going on a road trip to visit your recently married cousin in B.C. The total round trip distance is 2100 km. On the way to B.C., you encounter no setbacks and you are able to drive on average at a constant speed. On the way home from B.C., you encounter a snowstorm and your mom has to slow down to avoid getting into an accident. Thus, your average speed decreases by 10 km/h. If the total driving time was 42 hours, what was your average speed on the way to B.C.? Recall distance = speed x time.

An action figure is placed on a toy car, which is initially at rest. Then the action figure moves through 4 time intervals: The car is pushed until it hits a wall. Then, the action figure slides down a ramp. The action figure flies off of the ramp and hits a wall at the peak of its trajectory, momentarily coming to a complete stop. Finally, the action figure falls into the toybox and comes to rest. Assume that all surfaces, except the final wall, have nonzero coefficients of static and kinetic friction. For each time interval, including the endpoints, determine whether the total work done on the action figure by gravity (?g), normal forces (?N), and friction (?f) is positive, negative, or zero. Neglect drag. The motion of a toy army guy action figure is shown in four different time intervals. The toy is stiff and has a base for standing upright. During interval 1, shown in the upper left, the army guy stands upright upon a car initially at rest. The car is pushed to the right,…

You wake up in a strange room with no windows. This time you drop a ball from a height of 2.24 m and it hits the floor 0.203 s after you drop it. This time you suspect you are on a rocket that has just left the surface of the Earth, and is still not too far above the ground. What do you deduce the rocket s acceleration to be?     98.9 m/s^2     118.5 m/s^2     108.7 m/s^2     178.0 m/s^2