A cyclist moves along a straight road such that the acceleration profile along the road is shown. The cyclist has an initial velocity of 5 ft/s corresponding to s = 0. (a) Draw the v-s curve for the cyclist. Determine the velocity of the cyclist where s = 251.2 ft. (b) Calculate the time when the cyclist reaches s = 90.005 ft.

Q: A woodchuck runs 24.8 m to the right in 4.73 s, then turns and runs 9.1 m to the left in 3.36 s.…

A: Given  Displacements of the woodchuck is s1=+24.8 m and s2=-9.1 m (considering displacement to the…

Q: Destion 11 of 25 A sold sphere (-2/5 MR2) rols without sipping down an incine starting from rest, as…

A:

Q: A particle has an initial velocity of 5.00 m/s and it moves along the x-axis. Its acceleration is…

A: Acceleration is the rate of change of velocity a = dv/dt

Q: Your answer is partially correct. A ball is thrown upward from the top of a 294-m-tall building. The…

A: Introduction The second equation of motion:- Define a body's location, speed, and acceleration at a…

Q: A stone is thrown vertically upward with an initial speed of 20 m/s. When it returns, it fall into a…

A: The initial velocity of the stone, v = 20 m/s The initial position of the stone can be considered…

Q: A horse canters away from its trainer in a straight line, moving 45 m away in 8.7 s. It then turns…

A:

Q: A ball is thrown straight down with an initial speed of 2.3 m/s from a height of 5.0 m. What is the…

A:

Q: In this problem, you will apply kinematic equations to a jumping flea. Take the magnitude of…

A: Maximum height reached by flea( h) = 0.410m Free fall acceleration (g) = 9.80 m/s² Assume that…

Q: A sports car driver turned his car 15.0 km [E 30.0° N], and then turned again 30.0 km [W 45.0° N] to…

A: Here car first travel = 15.0 km [E 30.0° N],then turned again travel = 30.0 km [W 45.0° N]total time…

Q: The plane starts from rest (V=0 m/s) when t, =8.0 s. The plane accelerates down the runway and at…

A: Given, Initial velocity, u=0m/s Final velocity , v=110 km/h=110×100060×60=30.55 ms Initial time,…

Q: A cannon is fired with an initial horizontal velocity of 20 m/s and initial vertical velocity of 25…

A: Given data: The initial horizontal velocity,ux=20 m/s The initial vertical velocity, uy=25 m/s The…

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 stone is thrown straight upward and reaches a maximum height of 32.3 m above its launch point.…

A: Given value--- maximum height = 32.3 m. final speed = 0 m/s. We have to find--- initial speed?

Q: An object is descending toward the Planet X's surface (disregard air resistance). Its height is…

A:

Q: Jackson Avery is a big fan of skiing. The figure shows one of his jumps in which the path can be…

A:

Q: If you plot R (on the y-axis) vs. sin(20) (on the x-axis), you get a linear graph. Mathematically,…

A: The horizontal distance covered by a projectile is called range. From the range formula, we will how…

Q: Can you help me solve this problem please? A hot air ballon is rising into the air with a constant…

A: Here Initial velocity of the air ballon  = u 4.75 m/sHeight from the ground when a bag is dropped =…

Q: The elevator starts on the first floor then accelerates 2.46 ft/ss for 5 sec and continues for 12…

A: Acceleration of the elevator a=2.46 ft/s2 Time for which the elevator is accelerated t1=5 s The…

Q: A squirrel has a- and y- coordinates (1.0 m, 3.5 m) at time t₁ = 0 and coordinates (4.9 m, -0.50 m)…

A:

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: A ball is thrown straight upward. At 7.04 m above its launch point, the ball's speed is 3.36 times…

A:

Q: A particle travels along a straight line with a constant acceleration. When s = 4 ft, v= 3 ft/s and…

A: Here, Given that: v0=3 ft/s v=8 ft/s s=10 ft  s0= 4 ft

Q: A ball is projected upward from the ground level with an initial velocity of 96 feet per second.…

A:

Q: A softball is popped up vertically from the ground with a velocity of 21.56 m/s. The acceleration…

A: Write the given values with suitable variables. u=21.56 m/sa=-9.8 m/s2 Here, u and a are the initial…

Q: A large boulder is ejected vertically upward from a volcano withan initial speed of 40.0 m/s. Ignore…

A: initial speed, u = 4m/s

Q: A hare and a tortoise compete in a race over a course 2.80 km long. The tortoise crawls straight and…

A:

Q: You are instructed to travel 12.0 m and then 10.0 m. You use these instructions such that your…

A: TOTAL DISTANCE TO BE TRAVELLED IS   12.0 + 10.0 = 22.0 m given that distance D from initail point is…

Q: The body moves with the acceleration shown below. At time t = 0s, body position x = 250m and body…

A:

Q: A bullet going 319 m/s strikes a 2.8-cm-thick target. What constant acceleration is required if the…

A:

Q: A ball is thrown upward at time t=0 from the ground with an initial velocity of 14 m/s (~ 31 mph).…

A: At the greatest height, the velocity of ball will be zero.

Q: A robot has been programmed so that it has an acceleration given by a = 07 - Btj in the coordinate…

A: This is a question from the 2 dimensional motion of a particle, its answers can be given as…

Q: In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the…

A: The answer is written below:Explanation:

Q: The vertical displacement (in m) of a plane is  1.5 t2 up; t is the time (in s) after takeoff. The…

A: Given, the vertical displacement (in m) of a plane is y=1.5 t2 up; t is the time (in s) after…

Q: PROBLEM A rocket moves straight upward, starting from rest with an acceleration of +29.4 m/s². It…

A: Let us take upward as positive direction and downward as negative direction.  Acceleration due to…

Q: The acceleration of a particle is given by a = 4t -32, where a is in meters per second squared and t…

A:

Q: A cab driver heads south with a steady speed of v₁ = 22.0 m/s for t₁ = 3.00 min, then makes a right…

A: (a)distances has been calculated in diagram by multipliying velocity by time (in sec)

Q: John goes for a run. From his house, he jogs north for exactly 5.0 min at an average speed of 8.0…

A: When John goes for a run, North exactly 5 min at an average speed of 8km/hr. so, the distance John…

Q: A stone is thrown vertically upward with an initial speed of 20 m/s. When it returns, it fall into a…

A:

Q: The figure below shows a ball thrown from the top of a cliff at a downward angle of θ= 35.9° . It…

A: Given  D = 7.64 m is horizontal distance  Time taken, T = 1.11 sec  Downward angle, θ= 35.9°   If U…

Q: A dog jumps in a horizontal direction with an initial speed of vo=3.2 m/s from the edge of a table…

A:

Q: A ball is dropped from rest from the top of the building. What is the velocity of the ball 3.0…

A: A ball is dropped, therefore the initial velocity is 0m/s. u=0m/s Assuming body is undergoing…

Q: ack and Jill ran up the hill at 2.9 m/s. The horizontal component of Jill's velocity vector was 2.5…

A: Given: The velocity of Jack and Jill is 2.9 m/s. The horizontal component of the velocity is 2.5…

Q: The other day, while riding my bike, I was forced to stop quickly to avoid a squirrel in the middle…

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 –