A speed skater increases his speed from 10m/s to 12.5m/s over a period of 3s while coming out of a curve of 20m radius. What is the magnitude of the resultant acceleration as he leaves the curve?

Q: A bus travels 2.0 x 102m with a constant acceleration of magnitude 1.6 m/s2. How long does the…

A: Given   Distance d= 2*10² m Acceleration=a =1.6 m/s² Vi = initial velocitt = 8.0 m/s

Q: bungee jumper reaches a speed of 40 m/s just as the cord begins to stretch. If the time of stretch…

A:

Q: The positions of a particle along a straight line is given by s = sin(0.4t) - 5t + 11t², where s is…

A: Given:-  The position s of the particle along a straight line as  s = sin0.4t-5t+11t2 where s is in…

Q: A particle begins from rest at a point +10.0 m from the origin at time t = 0 s, and begins…

A:

Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a man accidentally stubs…

A: Given that: Speed of the nerve impulse in human body: v= 100 m/s Height of the man, d=1.70 m…

Q: A cliff of height 910 m in a park .Assume a jumper runs off the cliff with a speed of 5 m/sec at an…

A:

Q: You are on the roof of a Physics Building, 51 m above the ground. Your physics professor, who is…

A: Height of Physics building, H = 51 m Height of Professor, h = 1.79 m Velocity at which professor is…

Q: a tennis ball is thrown straight upward.it is caught at the same distance above the ground.The time…

A:

Q: A Lockheed Martin F-35 II Lighting jet takes off from an aircraft carrier with a runway length of 90…

A:

Q: a test rocket is fired straight up from the rest. the net acceleration is 20 m/s upward and…

A: Velocity when the rocket ceases firing v=u+anett=anett    u=0=20 m/s24.0 s≈80 m/s

Q: A rocket blasts off vertically from rest on the launch pad with a constant upward acceleration of…

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Q: Passengers in a whirl go round are subjected to accelerations of 2gs at the end of a 3.5 m pole as…

A: a) The required speed is,

Q: An athlete can jump a distance of 8.0 m in the broad jump. What is the maximum distance the athlete…

A: We have to determine the maximum distance that the athlete can jump on the moon.

Q: A rock is thrown down into the well with an initial downward speed 3.6of m/s. The rock hits the…

A: Let the initial speed of the rock is denotes by u and the time taken to hit the bottom is t. The boy…

Q: A test car starts from rest on a horizontal circular track of 85-m radiu seconds. Determine the…

A: radius r = 85 m initial velocity u = 0 final velocityv = 85 km/h    = 85 x 1000/3600    = 23.61 m/s…

Q: A rock, dropped from rest by a Rover near the surface of an atmosphere-free planet, attains a speed…

A: Assume that the acceleration due to gravity be g’. Therefore, using the kinematics equation, the…

Q: If a given spore is accelerated from rest to 1.23 m/s in 7.45 us, what is the magnitude of the…

A: Given,             v=1.23 m/s and t=7.45 μs=7.45×10-6sAccelaration , a=vt=1.23 m/s 7.45…

Q: A car is traveling along a straight road at a velocity of +33.8 m/s when its engine cuts out. For…

A: We are given initial velocity of car. We are given the final velocity. We are given 2 time intervals…

Q: The acceleration of a particle travelling along the x-axis is given by a(t) = t2 - 2t. What will be…

A: The particle’s acceleration is given as, Here, t represents the time. The particle’s velocity can…

Q: On the moon the acceleration due to gravity is 1/6 of Earth's. A ball is thrown straight up to the…

A: Time of flight of ball on moon = time of flight on earth = 19 seconds Acceleration due to gravity on…

Q: You drop an object from rest (initial velocity = 0) from a height of 6.8 metres. What is the final…

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Q: A test car starts from rest on a horizontal circular track of 75-m radius and increases its speed at…

A: Given that,  The radius of the circular track, r=75 m The initial speed of the car, vi=0 m/s The…

Q: Lockheed Martin F-35 Lightning II jet takes off from an aircraft carrier with a runway length of 97…

A: Length of runway (L) = 97 m Take off speed (v) = 72 m/s (long x direction) Acceleration (a) = 4.3…

Q: A rocket is launched from the origin with an acceleration of 20.0 m/s2 at an angle of 30.0 degrees…

A: Given: a1 = 20 m/s2θ = 30°t1 = 2 sa2=g = 9.8 m/s2

Q: A particle moves along a straight line with acceleration defined by a = (2t -9) m/s2, where t is in…

A: Using formula a=rate of changes in velocity=(dv)/(dt) to find velocity expression in term of time…

Q: bus is travelling with a uniform velocity of 20 m/s. At the instant it passes a car at rest, the car…

A:

Q: An object is released from rest on a planet that has no atmosphere. The object falls freely for 9.5…

A: Given data:  Initial velocity (Vi) = 0 m/s Height (h) = 9.5 m Time (t) = 1 s Required: The magnitude…

Q: A cyclist reaches the top of a hill at 5.0 m/s and travels downhill with a constant acceleration,…

A: Given: The initial speed of the cyclist at the top of the hill is 5 m/s. The final speed of the…

Q: An athlete can jump a distance of 8.0 m in the broad jump. What is the maximum distance the athlete…

A:

Q: a rocket initially at rest, is fired vertically with an upward acceleration of 10ms/s. at an…

A: In the provided question the motion of the rocket is divided into 2 parts.Part 1. The motion of the…

Q: A rock is thrown straight downward from a tree limb with an initial velocity v0. The rock has…

A:

Q: On another planet, a marble is released from rest at the top of a high cliff. It falls 14 m in the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: On the moon the acceleration due to gravity is 1/6 of Earth's. A ball is thrown straight up to the…

A: From v2-u2=2asat maximum height v=00-u2=2(-g)HH=u22gFrom the above equation , as the value of "g"…

Q: The velocity of a particle along the s-axis is given by v = 4s3/2 where s is in millimeters and v is…

A: velocity of a particle along the s-axis is given by  v = 4s3/2 to find acceleration a a=vdvds v  is…

Q: A baseball is hit with a bat and, as a result, its direction is completely reversed and its final…

A: Given values: Contact time,∆t=0.60 s Magnitude of initial speed,vi=v Magnitude of final speed,vf=v2

Q: Wags decides to go on another adventure. He begins by traveling east for 100m. He then moves 75 m in…

A: Given data,  Distance travelled towards East = 100m Distance travelled towards west =75 m With…

Q: You throw a ball from the balcony onto a basketball court.  You release the ball at a height of 7 m…

A: Given data: height h = 7 m Initial velocity u = 9 m/s angle θ=33o horizontal distance of friend r =…

Q: An object is released from rest on a planet that has no atmosphere. The object falls freely for 4.9…

A:

Q: A plane starting at rest at one end of the runway undergoes a uniform acceleration of 4.8m/s2 for…

A: Given , initial speed=Vt=0 Rest          acceleration = a= 4.8 m/s2         Time = t= 15 seconds

Q: A car drives straight off of a horizontal cliff with a speed of 45.3 m/s.  If it is in the air for…

A:

Q: A marble is thrown upward with an initial speed of 15.6 m/s. Assume g=10.0 m/s2 and neglect air…

A: Given  Initial velocity u=15.6m/s Final velocity v=0.5×15.6=7.8 m/s Acceleration due to gravity…

Q: You throw a ball straight upward with constant acceleration. After 5.4 seconds the ball is at a…

A: let the initial velocity = u time = 5.4 sec height after 5.4 sec = 120 m

Q: An Australian emu is running due north in a straight line at a speed of 13.0 m/s and slows down to a…

A:

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 –