Use the four kinematic equations to solve for distance, time, speed, and acceleration.
Bella is approaching some congested traffic and wisely slows her Audi from 19.3 m/s to 3.1 m/s at a constant rate of -3.46 m/s/s. How much time elapses before the car is traveling at 3.1 m/s?
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 0.114 m/s/s. How far are they from the shore after 14.8 seconds?
Distance from Shore
m
Julietta and Jackson are playing miniature golf. Julietta's ball rolls into a long, straight upward incline with a speed of 3.30 m/s and accelerates at -0.247 m/s/s for 2.39 seconds until it reaches the top of the incline and then continues along an elevated section. Determine the length of the incline.
Length of Incline
Alexander's hobby is dirt biking. On one occasion last weekend, he accelerated from rest to 10.6 m/s in 5.10 seconds. He then maintained this speed for 8.69 seconds. Seeing a coyote run cross the trail ahead of him, he abruptly stops in 4.72 seconds. Determine Alexander's average speed for this motion.
Average Speed
m/s
A speedboat increases its speed from 15.6 m/s to 31.5 m/s in a distance of 268 m. Determine the acceleration of the speedboat.
Acceleration
m/s/s
A speedboat increases its speed from 13.8 m/s to 26.0 m/s in a distance of 260 m. Determine the time over which this acceleration occurs.
A jet plane has a maximum deceleration rate of -6.24 m/s/s. It touches down on a runway with a speed of 141 m/s. From the instant it touches the runway, what is the minimum time needed before it comes to rest?