An athlete wants to run a 1500m race with an average velocity of 6.00 m/s. After running the first 500m, he notices that the time elapsed is 100 seconds. Panicking, he accelerates for “t” seconds at 0.2 m/seconds^2 and finishes the race at his new faster speed. He makes it just in time. How long did he accelerate for? (Use 5 significant figures in the answer)

Q: If a drag racing motorcyclist has an initial speed of 10 m/s, and then he/she accelerates for 15…

A: Given: The initial speed of the motorcycle is 10 m/s. The acceleration is 15 m/s2. The time interval…

Q: The 1992 world speed record for a bicycle (human-powered vehicule) was set by Chris Huber. His time…

A: Time taken by Chris Huber in 1992 to cover 200 m stretch = 6.509 seconds Using formula, Speed×time =…

Q: The velocity time graph of runner is given in the graph. (a) What is the total distance covered by…

A: In a velocity-time plot the area under the curve gives the total distance travelled during the…

Q: A boy runs for 16 seconds.  His minimum speed is 4 m/s, while his maximum speed is 5.5 m/s.…

A:

Q: In an airport moving walkways help get passengers to their gates faster. In one case a person stands…

A:

Q: Shown below is a graph of velocity versus time for a moving object. The object starts at position x…

A: Given Data:  Initial position of object x=0 m Final time t=2 s At t=2 s, velocity (v)= 10 ms

Q: A car traveled at a rate of 50 km/hr for 8 minutes and then at 25 km/hr for 7 min and finally at 20…

A: Given Data: Speed in first journey s1=50 km/hr Time in first journey t1 = 8 minutes= 8/60 hours…

Q: The graph shows the speed of a car as a function of time. speed (m/s) 6 5 3 2 1 0 3 time (s) What is…

A: Given The given graph of speed vs time shown below.

Q: A bike accelerates at a rate of 2.0 m/s2, from rest, over a distance of 148 m. What is the speed of…

A:

Q: Goggles Paisano (aka Fred Flintstone) has once again entered the Indianrockolis 500. The race…

A: Given data: The number of laps is n=200. The length of each lap is s=2.5 mile. Time taken is t=2hr…

Q: Dan Koko fell a distance of 312 feet into an airbag after jumping from the Vegas World Hotel and…

A: Given in question - Distance(D) = 312 feet                                  Distance formula: d =…

Q: a person walks at 4.5 meters per second from point a to b. Then walks back from point b to a at a…

A: Given data:  From point a to b Speed (V1) = 4.5 m/s From point b to a Speed (V2) = 3.2 m/s Required:…

Q: A block is moving along the x-axis and its position varies in time according to the expression x =…

A: Given: x = 3.00 m/s2t2 a Position at t = 3.20 sxat t=3.20 = 33.202∴xat t=3.20 = 30.72 m

Q: An unmarked police car travelling with the constant speed 90 km/h, is passed by a speeder with an…

A:

Q: Ilya and Anya each can run at a speed of 8.40 mph and walk at a speed of 3.00 mph. They set off…

A: Concept: To determine the Time taken to cover the distance we will use the Formula…

Q: A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km]…

A: The expression for find time taken by the runner to complete the race is t=dv

Q: An object on a number line moved from x = 12 m to x = 124 m andmoved back to x = 98 m. The time…

A: Given,  Initial position of the object = X1 = 12 m Then the object moved to position 2, X2 = 124 m…

Q: How much distance does he travel ?

A: Given data; Speed of men=20 ms-1Time taken by him=60 minFind distance does he travel ?

Q: A person drove a car in a straight line, cutting 8.4 km at a time of 0.12 h, then he ran out of fuel…

A: Solution:

Q: There are flies that are flying with a constant altitude of 5 km, that has a velocity of 42km/h. At…

A:

Q: A cart is traveling in a straight line with a constant speed of 104 m/s. How many meters will the…

A: Speed of cart =  v = 104m/sTime t = 1second

Q: Two cars set out simultaneously from places 150 km apart. They travelled toward each other and…

A: Given data T=150 kmT=2.5 hr

Q: Nerve impulses in the human body travel at a speed of about 100 ms-1. A 1.6m tall man accidentally…

A: Given data The speed of the nerve is given as v = 100 m/s. The height of the man is given as h =…

Q: Suppose we measure a car's velocity every two seconds and obtain the data in the table: time(sec) 0…

A: S.No Time(s) Velocity (ft/s) Velocity (m/s) 1) 0 10  3.048 2) 2 28 8.5344 3) 4 42 12.80 4) 6…

Q: As your friend skateboards down a hill, you measure their velocity at 1.0-second intervals. You…

A: Given data:  Initial velocity at t = 0.0 s u = 0.0 m/s Final velocity at t = 2.0 s v = 4.6 m/s…

Q: A race car is one lap behind the lead race car when the lead car has 47 laps to go in a race. If…

A:

Q: A car travels at 17 m / s. At a certain point the driver applies the brakes to the maximum and the…

A: Given: The initial speed of the car is u=17 m/s. Time taken to stop the car is t=2 s. Let, a be rate…

Q: A stone is thrown downward with a speed of 20 m/s from a height of 15 m. (acceleration due to…

A: Given value--- initial speed = 20 m/s. height = 15 m. acceleration due to gravity = 10 m/s2.  We…

Q: Starting from rest, a particle moving in a straight line has an acceleration of a = (2t−6)m/s^2 ,…

A: Given data: Acceleration a =2t-6 ms-2 Time t= 6s To determine Position at Time t = 11 s

Q: A runner makes two complete laps around a track. The distance of the track is 905 meters. It takes…

A: Speed is a scalar quantity and it is defined as the distance traveled in unit time. Velocity is a…

Q: bserved his athletic friends, Aya and Marisa, run. The two girls ran in a 1.5-km straight dirt road.…

A: Given Data:-  The two girls ran on a 1.5-km straight dirt road.   Marisa was given a ten-second…

Q: he velocity (v) in metres per second of an object in terms of the time (t) in seconds is given by:…

A: Given: The equation of the velocity of the object is. v=-10t2+9…

Q: Pedro is driving a motorcycle along Espana boulevard. His position  (in meters) at any given time…

A: Given data *Pedro's position  (in meters) at any given time is x(t) = 1.124t2 + 6.022 Pedro's…

Q: horse covers 5km with an average speed of 20 ms^-1. He runs the distance in 3 stages. He gallops the…

A:

Q: An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground.…

A:

Q: A speeder traveling at 40 m/sec along a straight road sees a police car in the distance.  He applies…

A:

Q: An Olympic bobsled goes 41 m in 2.6 s. How fast was it travelling in m/s? Be sure to answer with the…

A: Speed is given by V = distance/time

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –