Three marathoners start running simultaneously from the same point along a linear track. On average, their speeds are presented in the given table here: Name Speed (m/s) Antonette 3.5 Jhuddy 2.2 Nica 2.3 After 5.0 seconds, how much farther is Antonette from Nica? How about the distance between Jhuddy and Antonette?
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- At the end of a race, a runner decelerates from a velocity of 9.00 m/s at a rate of 2.00 m/s2. (a) How far does she travel in the next 5.00 s? (b) What is her final velocity? (c) Evaluate the result. Does it make sense?At the end of a race a runner decelerates from a velocity of 8.70 m/s at a rate of 1.80 m/s2. A. How far in meters does she travel in the next 5.30 s? (Assume the deceleration of 1.80 m/s2is constant over the full 5.30 s.) B. What is her final velocity in m/s? C. Evaluate the result. Does it make sense? (Hint: what is the algebraic sign of the velocity, and what does it imply)The fastest commercially available rifle bulletclaims a muzzle velocity of 4225 ft>s. (a) What is this speed in milesper hour? (b) How far (in meters) can this bullet travel in 5.0 ms?
- On a hot summer day in the state of Washington while kayaking, I saw several swimmers jump from a railroad bridge into theSnohomish River below. The swimmers stepped off the bridge,and I estimated that they hit the water 1.5 s later. (a) How high wasthe bridge? (b) How fast were the swimmers moving when theyhit the water? (c) What would the swimmers’ drop time be if thebridge were twice as high?A particle's position is given by × = 14.0 - 9.00t + 3t2, in which x is in meters and t is in seconds. (a) What is its velocity at t = 1s? (b) Is it moving in the positive or negative direction of x just then? (c) What is its speed just then? (d) Is the speed increasing or decreasing just then? (Try answering the next two questions without further calculation.) (e) Is there ever an instant when the velocity is zero? If so, give the time t; if not, answer "O". (f) Is there a time after t = 3 s when the particle is moving in the negative direction of x? If so, give thetime t; if not, answer "O".A stant motorcyclist is trying to jump over fifteen buses set side to side .each bus is 2.50m wide and a 30degree ramp has has been Installed on either side of the line of buses . A.what is the minimum speed at which she must travel to safely reach the other side? B.How long will she be in the air?
- An express train passes through a station. It enters with an initial velocity is22.0 m/s and decelerates at a rate of 0.150 m/s2 as it goes through. Thestation is 210 m long. (a) How long is the nose of the train in the station? (b)How fast is it going when the nose leaves the station? (c) If the train is 130 mlong, when does the end of the train leave the station? (d) What is thevelocity of the end of the train as it leaves?A small mailbag is released from a helicopter that is descendingsteadily at 1.50 m/s. After 2.00 s, (a) what is the speedof the mailbag, and (b) how far is it below the helicopter?(c) What are your answers to parts (a) and (b) if the helicopteris rising steadily at 1.50 m/s?Marc left Town A at 8 a.m. and drove to Town B at an average speed of 60 km/h. 1 1/2 hours later, Ben left Town A and drove to Town B, follwing the same route as Marc. After travelling for 240 km, Ben caught up with Marc. (a) What was Ben's average speed? (b) How far apart were they at 2 p.m.?
- A horse travels 65 km/hr with a distance of 5.98 km . a. How long does the horse travels? b. What is the new speed of the horse if he travels twice his time travelled?A commercial airplane has an airspeed of 280 m/s due east and flies with a strong tailwind. Ittravels 3000 km in a direction 5º south of east in 1.50 h. (a)What was the velocity of the plane relative to the ground? (b)Calculate the magnitude and direction of the tailwind’svelocity. (c) What is unreasonable about both of thesevelocities? (d) Which premise is unreasonable?A tennis ball on Mars, where the acceleration due to gravity is 0.379g and air resistance is negligible, is hit directly upward and returns to the same level 8.5 s later. (a) How high above its original point did the ball go? (b) How fast was it moving just after being hit? Note: Round off your answers in the nearest tenth.