University:
Winston-Salem Forsyth County Schools
Course:
AP Calculus AB
Academic year:

2014
Views:

190

Pages:

2
Author:

Adrianna Christian

Acceleration Practice Problems A roller coaster’s velocity at the top of the hill is 10 m/s. Two seconds later it reaches the bottom of the hill with a velocity of 26 m/s. What is the acceleration of the coaster? 𝑎 = 𝑉 𝑓 − 𝑉 𝑖 𝑡 = 26 − 10 2 = 16 2 = 8 m/s 2 a= t V f −V i = 2 26−10 = 2 16 =8m/s 2 A swimmer speeds up from 1.1 m/s to 1.3 m/s during the last 20 seconds of the race. What is the acceleration of the swimmer? 𝑎 = 𝑉 𝑓 − 𝑉 𝑖 𝑡 = 1.3 − 1.1 20 = 0.2 20 = 0.01 m/s 2 a= t V f −V i = 20 1.3−1.1 = 20 0.2 =0.01m/s 2 A satellite’s original velocity is 10,000 m/s. After 60 seconds it is going 5,000 m/s. What is the acceleration? 𝑎 = 𝑉 𝑓 − 𝑉 𝑖 𝑡 = 5 , 000 − 10 , 000 60 = − 5 , 000 60 = − 83.3 m/s 2 a= t V f −V i = 60 5,000−10,000 = 60 −5,000 =−83.3m/s 2 How long will it take a car to go from 0 to 44 km/hr if they are accelerating at 5 km/hr²? 𝑡 = 𝑉 𝑓 − 𝑉 𝑖 𝑎 = 44 − 0 5 = 8.8 hr t= a V f −V i = 5 44−0 =8.8hr Upton Chuck is riding the Giant Drop at Carowinds. If Upton free falls for 2.6 seconds and the acceleration (due to gravity) is 9.8 m/s², what will be his final velocity and how far will he fall? 𝑉 𝑓 = 9.8 × 2.6 = 25.48 m/s V f =9.8×2.6=25.48m/s If a speeding train hits the brakes and it takes the train 39 seconds to go from 54.8 m/s to 12 m/s, what is the acceleration? 𝑎 = 𝑉 𝑓 − 𝑉 𝑖 𝑡 = 12 − 54.8 39 = − 1.10 m/s 2 a= t V f −V i = 39 12−54.8 =−1.10m/s 2 How many minutes will it take a car to go from a stop to 33 km/hr if it accelerates at 10 km/hr²? 𝑡 = 𝑉 𝑓 − 𝑉 𝑖 𝑎 = 33 − 0 10 = 3.3 hr t= a V f −V i = 10 33−0 =3.3hr If you jumped from an airplane (air resistance didn’t affect you) with the force of gravity having an acceleration of 9.8 m/s², how fast would you be going after 8 seconds? 𝑉 𝑓 = 9.8 × 8 = 78.4 m/s V f =9.8×8=78.4m/s