In a biathlon race, Murray must cycle 30 km and then run 20 km. Using v as his cycling speed and as his running speed, the correct simplified expression for the total time needed to complete the race will be:

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.

Can you help with d.

1. Jack drives a distance of 160 miles at an average speed of 35 miles/hr, followed by a distance of 190 miles at 75 miles/hr. What is his average speed over the 350-mile trip? Hint: Draw a labeled sketch of the trip. V avg miles per hour

Two cars left Albany and Tenterden at the same time, passing through mount barker and both travelling at different steady speeds. The car from Tenterden completed the journey from mount barker to albany in 45 minutes at a steady pace of 64 km/h. The car from albany completed the journey from mount barker to tenterden in 20 minutes. What was the speed of the car from Albany.

Tom Cogwagee Longboat, of the Six Nations of the Grand River, is one of Ontario's best known distance runners. In 1907, he set a new Boston Marathon record, beating all of the previous decade's champions by almost 5 minutes! If he ran the 39.2 km course in 2 hours, 24 minutes and 24 seconds, what was his speed? HINT: we'll need our units to be metres per second - what do you need to convert in the question? 0.221 m/s O 0.272 m/s O 4.52 m/s O 17.5 m/s

2. An object of mass 200 g (0.2 kg) is thrown vertically upwards with a velocity of 8 m/s from a height of 10 m above the ground. It reaches certain maximum height and falls straight back to ground. Ignore air resistance in this problem. (a) Draw v-t graph that represents the velocity of the object after it is launched upwards and until it hits the ground. (b) How long does it take for the object to reach the maximum height? (c) What is the maximum height of the object from the ground? (d) How long does it take for the object to reach the ground from the highest point of motion? (e) What is the velocity of the object as it reaches ground? (Hint: Not zero).

4. A computer animator is trying to make an animation of a rabbit rushing back and forth along a sidewalk. He decides to model the rabbit's velocity over time as shown in the following graph, where time is measured in seconds and velocity is measured in meters per second. velocity 3 2 1 777749 -24 -4 -5 3 4 8 9 time 10 (Here, positive velocities indicate that the rabbit is heading east; negative velocities indicate that the rabbit is heading west.) (a) Suppose the rabbit starts at a position we'll call 0. Sketch a rough graph of the rabbit's position as a function of time on the interval [0, 10]. We do not expect your graph to be perfect, but it should accurately show whether the graph is increasing or decreasing and whether it is concave up or concave down. (b) At time 0, there was a squirrel sitting 2 meters east of the rabbit. Suppose that the squirrel's velocity on [0, 10] is given by the same graph shown above. On your graph from (a), also sketch the squirrel's position as a…

9: An archer fires an arrow straight up into the air with a speed v0=35.6m/s. Neglect air resistance.   a. Find the maximum height, hℎ, in meters, reached by the arrow.  b.  In terms of known quantities, write an expression for the time the arrow is in the air until it returns to launch height.

Page > of 4 22. The accompanying graph shows Marie's distance from home (A) to work (F) at various times during her drive. Marie's Trip to Work 20 15 10 DE 10 15 20 25 30 35 40 Time (min) Marie left her briefcase at home and had to return to get it. State which point represents when she turned back around to go home and explain how you arrived at that conclusion. a b. Marie also had to wait at the railroad tracks for a train to pass. How long did she wait? MacBook Air 50 F3 I F8 > F9 5 FIO 44 F7 F5 %23 %24 & 3 4. 5 8 R Y D F H. K 60 (ju) ewoH woJj eouejsic