For safety reasons, some of the fastest dragsters, called top-fuel dragsters, do not race for more than 300 to 400 meters. Consider such a dragster that, when the light turns green, accelerates uniformly from rest and completes a 357 meter race in a time of 9.56 seconds. Part A: During this period, what is the dragsters acceleration expressed as a multiple of the acceleration due to gravity, g?  Part B: If the dragster could continue with this average acceleration, what would its speed be, in miles per hour, after it has traveled a total distance of 1.6km, which is approximately one mile?

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 13.5 m/s2 for a time period of 3.30 s. After this time period, the rocket engine abruptly shuts off, and the sled subsequently undergoes a constant backward acceleration due to friction of 6.15 m/s2. After the rocket turns off, how much time does it take for the sled to come to a stop? time: ? By the time the sled finally comes to a rest, how far has it traveled from its starting point? distance traveled: ?

As a technical engineer in the army, you are part of a team in charge of testing and commissioning a new tank recently purchased by the artillery. Field testing has revealed the following information: 1) The tank moves from rest to a speed of 70 km/hr in 10 seconds. 2) Using the breaking system, the tank is brought to a complete stop from a speed of 70 km/hr in 5 seconds. You are required to address all the questions below providing all calculations, graphs, and explanations as appropriate to back your answers. First: Motion of the tank: a) Find the average driving acceleration of the tank. b) Calculate the average breaking acceleration of the tank. c) For parts (a) and b above parts report your answers in US Customary Units (mile/hr) so that the information could be shared with experts from the US.

At time​ t, the position of a body moving along the​ s-axis is s=−t^3+12t^2−36t m. a. Find the​ body's acceleration each time the velocity is zero. b. Find the​ body's speed each time the acceleration is zero. c. Find the total distance traveled by the body from t=0 to t=3.