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: A rocket is fired vertically from the ground with a resultant acceleration of 10m/s2. The fuel is…

A: From the ground, with in one minute the distance travelled by the rocket with an acceleration…

Q: A hypothetical spaceship takes a straight-line path from the Earth to the moon, a distance of about…

A:

Q: The velocity of a wheel is given by the equation v(t)=2t+3t^(3)((m)/(s)). What is the instantaneous…

A: GIVEN           v(t)=2t+3t3 ( m/s)           t= 2 sec

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

A:

Q: A Boeing 747 "Jumbo Jet" has a length of 59.7 m. The runway on which the plane lands intersects…

A:

Q: A fighter jet takes off from the horizontal deck of an aircraft carrier. Starting from rest, it…

A:

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

A:

Q: A faulty model rocket moves in the xy-plane (the positive y- direction is vertically upward). The…

A: Given: Component of Rocket acceleration: horizontal component, ax(t) = αt2vertical component, ay(t)…

Q: The flight of a rocket is as follows: From rest and at sea level, the rocket is launched and climbs…

A: Given:Initial velocity of the rocket, u = 0 m/sInitial acceleration of the rocket, a = 17.2 m/s2Fuel…

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: magnitude of the acceleration

A: Given: Position vector as r→t=5.05t2, 3.57t3, 3.96t Find: Magnitude of acceleration at time t=1.11 s

Q: object is thrown into the air with initial velocity v = 5m/s. After being released it is only…

A: Initial velocity v = 5m/s. a = -9.81m/s2We need to find time taken in reaching maximum height.

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: n an online viral video, a truck rolls down an incline and off a vertical cliff, falling into a…

A:

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: A salamander of the genus Hydromantes captures prey by launching its tongue as a projectile: The…

A: Acceleration

Q: A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns…

A: Given: Speed v1 = 0.55 m/s along north direction Speed v2 = 0.53 m/s along south direction Taking…

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: 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 driver of a car slams on the brakes when he sees a tree blocking the road. The car slows uniformly…

A: Given, Acceleration ax = -5.6 m/s2 Time (t) = 4 seconds ∆x = 62.4 m

Q: An Aston Martin and a Bugatti are moving in the same direction along a perfectly straight part of…

A:

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: A man walks on a straight road from his home to a market 5 km away with a speed of 10 km/h. Finding…

A: GivenThe distance between the home and market (d) = 5 kThe velocity at which the person travelled…

Q: A brick is dropped (zero initial speed) from the roof of abuilding. The brick strikes the ground in…

A: From kinematic relation v=u+at=0-gt

Q: traveling at a constant speed of 30.0m / s as it passes a stationary police car. If the police car…

A: Given:- The car traveling at a constant speed v = 30.0 m/s The police car takes time to start is  1…

Q: The graph is a particle's position along x axis versus time. What are the signs of the particle's…

A: The signs of the Particle's velocity at t=0, 1, 2 and 3 s.given,Position-time graph.

Q: A sports car starts from rest at an intersection and accelerates toward the east on a straight road…

A:

Q: An Osprey can fly horizontally (not diving) at a maximum speed of 70.0 km/hr. The bird takes off…

A: Converting the velocities  in m/s of =  70 km/h= 7000/3600=1.944m/s acceleration=a= 1.21m/s2    and…

Q: A cyclist accelerates from rest along a straight, horizontal path for a time taccel = 14s at a rate…

A: The objective of the question is to find the displacement of the cyclist who accelerates from rest…

Q: The infamous chicken is dashing toward home plate with a speed of 5.7 m/s when he decides to hit the…

A: (a) The magnitude of acceleration is given by,

Q: A 1000kg weather rocket is launched straight up. The rocket motor provides a constant acceleration…

A:

Q: A baseball pitcher delivers his fastball at 145 km/h to a catcher behind the plate. The ball hits…

A: Given data:  Initial velocity (u) = 145 km/h Final velocity (v) = 0 m/s Distance (d) = 12.0 cm =…

Q: A speeding car is traveling at a constant 30.0 m/s when it passes a stationary police car.If the…

A: Speed of the speeding car = 30 mstime elapsed before the police started = 1 sec

Q: A particle moves along the x-axis. The function x(t) gives the particle’s position at any time t ≥…

A: The position of the particle is

Q: A particle moves along the x-axis. The function x(t) gives the particle’s position at any time t ≥…

A: Given: The position function (x(t)) of the particle is given by t3- 4t2+3t - 2. Introduction: The…

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

A: Height of rocket after acceleration is,

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

A:

Q: A particle moving along x axis has a position given by x=(24t-2.0t^3)m where t is measured in second…

A:

Q: The determined Wile E. Coyote is out once more to try to capture the elusive Road Runner of Loony…

A: Given Information: The constant accleration of the Coyote (a) = 15.0 m/s2 The initial velocity of…

Q: At t1 = 3.00 s, the acceleration of a particle moving at constant speed in counterclockwise circular…

A: We are given acceleration in cartesian coordinates. Since speed is constant, there is only…

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 –