Use the "Big 4" kinematics equations to solve the following problems.
A car coasts into a hill at 16.0 m/s. It slows down with a uniform acceleration of -1.0 m/s/s.
What is the car's speed after 7.0 s?
Speed
m/s
What is the car's displacement after 7.0 s?
Displacement
m
What is the car's speed after 12.0 s?
What is the car's displacement after 12.0 s?
Rickey Henderson, baseball's record holder for stolen bases, approaches third base. He dives headfirst, hitting the ground at 7.26 m/s and reaching the base at 5.02 m/s, accelerating at -5.13 m/s/s. Determine the distance Rickey slides across the ground before touching the base.
Distance
Captain John Stapp is often referred to as the "fastest man on Earth." In the late 1940s and early 1950s, Stapp ran the U.S. Air Force's Aero Med lab, pioneering research into the accelerations which humans could tolerate and the types of physiological effects which would result. Manning the rocket sled on the famed Gee Whiz track, Stapp tested acceleration and deceleration rates in both the forward-sitting and backward-sitting positions. He would accelerate to aircraft speeds along the 1200-foot track and abruptly decelerate under the influence of a hydraulic braking system. On one of his most intense runs, his sled decelerated from 277 m/s (620 mi/hr) to a stop at -202 m/s/s. Determine the …
… stopping distance.
… stopping time.
Time
s
Win Blonehare and Kent Swimtashore are sail boating in Lake Gustastorm. Starting from rest near the shore, they accelerate with a uniform acceleration of 0.206 m/s/s. How far are they from the shore after 12.9 seconds?
Distance from Shore
A jet plane has a maximum deceleration rate of -7.17 m/s/s. It touches down on a runway with a speed of 140 m/s. From the instant it touches the runway, what is the minimum time needed before it comes to rest?
Alexander's hobby is dirt biking. On one occasion last weekend, he accelerated from rest to 11.9 m/s in 4.88 seconds. He then maintained this speed for 9.43 seconds. Seeing a coyote run cross the trail ahead of him, he abruptly stops in 4.53 seconds. Determine Alexander's average speed for this motion.
Average Speed
A bicyclist begins her descent down a hill moving with a speed of 2.90 m/s. She moves with a constant acceleration and arrives at the bottom with a speed of 17.2 m/s. The hill is 46.1 m long. What is the acceleration of the bicyclist on the hill?
Acceleration
m/s/s
A bus heading down Martin Luther King Drive at 20.2 km/h begins accelerating at a rate of 2.38 m/s/s. What velocity (in km/hr) does it have 5.9 s later? (Careful of units.)
Final Speed
km/hr
A biker speeds up to 30.9 m/s from rest in 5.67 seconds. The biker maintains this speed for 9.39 seconds before coasting to a stop in 7.12 seconds. What was the biker's average speed for the trip?