The Kinematics Equations 1.5 The Kinematics Equations
slope = = acceleration (m/s2) = change in velocity (m/s) = change in time (s)
= initial velocity (m/s) = final velocity (m/s) = displacement (m) t = time (s)
Equation X
Examples 1) A car moving at a velocity of 50.0 km/h [east] accelerates for 5.45 s at a rate of 2.00 m/s2 [east]. What will be the car’s final velocity, in km/h? 89.2 km/h [east] 2) A bear accelerates from rest to a velocity of 15 m/s [N]. If the displacement of the bear was 50 m [N], how long did it accelerate for? 6.7 s 3) A truck traveling at 80.0 km/h applies the brakes for 10.4 s. If the acceleration due to the brakes is 0.955 m/s2, how far did the truck travel during this time? 179 m
Examples 4) A car in motion takes 7.4 s to accelerate to 100 km/h [E]. If during this time it travels 240 m [E], what is the car’s acceleration? 1.3 m/s2 [W] 5) What is the magnitude of a truck’s acceleration if it can stop from a speed of 80.0 km/h in a distance of 23.7 m? 10.4 m/s2
Homework: read pages 46 – 53 Practice Problems pgs. 47, 48, 50, 51, 52 1.5 Check and Reflect pg. 53 #’s 1 – 14