Dynamics sample problem

a=0.712m/s^2

A bike accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 m. Determine the acceleration of the bike.

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A bullet leaves a rifle with a muzzle velocity of 521 m/s. While accelerating through the barrel of the rifle, the bullet moves a distance of 0.840 m. Determine the acceleration of the bullet (assume a uniform acceleration).

8.10m/s^2

A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110 m. Determine the acceleration of the car.

d=28.6m

A car traveling at 22.4 m/s skids to a stop in 2.55 s. Determine the skidding distance of the car (assume uniform acceleration).

a=15.8m/s^2

A dragster accelerates to a speed of 112 m/s over a distance of 398 m. Determine the acceleration (assume uniform) of the dragster.

a=11.2m/s^2 d=79.8m

A race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds. Determine the acceleration of the car and the distance traveled.

V=6.612m/s a=0.448m/s^2

A truck covers 40.0m in 8.50s while smoothly slowing down to a final speed of 2.80m/s. Find its original speed & acceleration

1720m

An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.

d=704m

An engineer is designing the runway for an airport. Of the planes that will use the airport, the lowest acceleration rate is likely to be 3 m/s2. The takeoff speed for this plane will be 65 m/s. Assuming this minimum acceleration, what is the minimum allowed length for the runway?

a=16cm/s^2

An object moving with uniform acceleration has a velocity of 12.0cm/s in the positive x direction when its x coordinate is 3.00cm. If its x coordinate 2.00s later is - 5.00cm, what is its acceleration

t=5.48s

How long does it taje a car to cross a 30.0m wide intersection after the light turns green if the car accelerates from rest at a constant 2.0m/s^2

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It was once recorded that a Jaguar left skid marks that were 290 m in length. Assuming that the Jaguar skidded to a stop with a constant acceleration of -4.57 m/s2, determine the speed of the Jaguar before it began to skid.

a=243m/s^2 d=406m

Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated to a speed of 444 m/s in 1.83 seconds, then what is the acceleration and what is the distance that the sled travels?

X=3m V=28m/s a=54m/s^2

The motion of a particle is defined by the position coordinate x, x=t^4-3t^3+t, where x is in m and t is in sec. Det. Position, velocity & acceleration @t=3sec