 # 1.) A ball is thrown straight down from the... of -22 feet per second.

```Name ____________________________________ Date _____________________ Period _____
1.) A ball is thrown straight down from the top of a 220-foot building with an initial velocity
of -22 feet per second.
What is its velocity after 3 seconds?
What is its velocity after falling 108 feet?
What is the ball’s terminal velocity? (When the ball hits the ground)
HINTS!!!!!
GIVEN: s(t )  16t 2  vot  so
Where vo is the initial velocity and so is the initial position
Hence, for this problem, s(t )  16t 2  (22)t  220
2.) During the first 40 seconds of a rocket flight, the rocket is propelled straight up so that in
t3
t seconds it reaches a height given by s(t ) 
.
10
(a)
What is its position at t = 40 seconds?
(b)
What is its average velocity on [0, 40]?
(c)
Find its velocity at t = 40 seconds.
Name ____________________________________ Date _____________________ Period _____
3.) Acceleration The velocity of an object in meters per second is v(t )  36  t 2 , 0  t  6 .
(a) Find the velocity and acceleration of the object when t = 3.
(b) What can be said about the speed of the object when the velocity and acceleration
have opposite signs?
4.) Acceleration An automobile’s velocity starting from rest is v(t ) 
100t
where v is
2t  15
measured in feet per second. Find the acceleration at:
(a) 5 seconds
(b) 10 seconds
(c) 20 seconds
5.) A car is traveling at a rate of 66 feet per second (45 miles per hour) when the brakes are
applied. The position function for the car is s(t )  8.25t 2  66t , where s is measured in
feet and t is measured in seconds. Use this function to complete the table, and find the
average velocity during each time interval.
t
0
s(t)
v(t)
a(t)
Average Velocity on:
[0, 1]
[1, 2]
[2, 3]
[3, 4]
1
2
3
4
``` # 2.1a Uniform Motion Grahps.notebook October 12, 2014 v =   d # Speed, Velocity and Acceleration Calculations Worksheet Part 1 