Kinematic EQs 10/8

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? (d=the displacement) (v= the change in velocity)

• a=v/t

• v_f²=v_i²+2ad

• d=0.5(v_i+v_f)t

• d=v_it+0.5at²

• v_f=v_i+at

The observation deck of tall skyscraper 370 m above the street. Determine the time required for a penny to free fall from the deck to the street below. (d=the displacement) (v= the change in velocity)

• a=v/t

• v_f²=v_i²+2ad

• d=0.5(v_i+v_f)t

• d=v_it+0.5at²

• v_f=v_i+at

A bullet is moving at a speed of 367 m/s when it embeds into a lump of moist clay. The bullet penetrates for a distance of 0.0621 m. Determine the acceleration of the bullet while moving into the clay. (Assume a uniform acceleration). (d=the displacement) (v= the change in velocity)

• a=v/t

• v_f²=v_i²+2ad

• d=0.5(v_i+v_f)t

• d=v_it+0.5at²

• v_f=v_i+at

A stone is dropped into a deep well and is heard to hit the water 3.41 s after being dropped. Determine the depth of the well. (d=the displacement) (v= the change in velocity)

• a=v/t

• v_f²=v_i²+2ad

• d=0.5(v_i+v_f)t

• d=v_it+0.5at²

• v_f=v_i+at

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 -3.90 m/s2, determine the speed of the Jaguar before it began to skid. (d=the displacement) (v= the change in velocity)

• a=v/t

• v_f²=v_i²+2ad

• d=0.5(v_i+v_f)t

• d=v_it+0.5at²

• v_f=v_i+at

A plane has a takeoff speed of 88.3 m/s and requires 1365 m to reach that speed. Determine the acceleration of the plane and the time required to reach this speed. (d=the displacement) (v= the change in velocity)

• a=v/t

• v_f²=v_i²+2ad

• d=0.5(v_i+v_f)t

• d=v_it+0.5at²

• v_f=v_i+at

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) (d=the displacement) (v= the change in velocity)

• a=v/t

• v_f²=v_i²+2ad

• d=0.5(v_i+v_f)t

• d=v_it+0.5at²

• v_f=v_i+at

A bowling ball is dropped on the Jupiter from a height of 3 meters with an initial velocity of 0.4 m/s. The acceleration of gravity on Jupiter is 24.5 m/s2 . How long does it take for the bowling ball to reach the surface of Jupiter?

(d=the displacement) (v= the change in velocity)

• a=v/t

• v_f²=v_i²+2ad

• d=0.5(v_i+v_f)t

• d=v_it+0.5at²

• v_f=v_i+at

A plane starts from rest and accelerates uniformly over a time of 20 s for a distance of 300 m. Determine the plane’s acceleration. (d=the displacement) (v= the change in velocity)

• a=v/t

• v_f²=v_i²+2ad

• d=0.5(v_i+v_f)t

• d=v_it+0.5at²

• v_f=v_i+at

A jumbo jet takes off from St. John’s International Airport. Starting from rest it reaches its take off speed of 36.0 m/s over 1200 metres of runway. How long does this take? (d=the displacement) (v= the change in velocity)

• a=v/t

• v_f²=v_i²+2ad

• d=0.5(v_i+v_f)t

• d=v_it+0.5at²

• v_f=v_i+at