Question

acceleration activity
acceleration = \frac{final\\,speed - initial\\,speed}{time} \quad a = \frac{\delta v}{t} \quad \delta = change

important: a negative acceleration means the person is slowing down.
this does not mean that your answer is wrong!

1. casey dropped a golf ball from her third story window. the ball is at rest

when she drops it, making the initial speed 0 m/s. it hits the sidewalk 3.1
seconds later with a velocity of 13.2 m/s. what is the acceleration of the golf
ball?

1. derek’s car accelerates from 3 m/s to 46 m/s in 24 seconds. what is the

acceleration of the car?

1. a fish is swimming at a constant speed of 0.6 m/s suddenly notices a shark

appear behind it. after 8 seconds, the fish is swimming at a speed of 4.3 m/s
as it tries to escape. what is the fish’s acceleration?

1. denzel washington was walking down hollywood boulevard at a speed of

1.5 m/s. he notices paparazzi following him and starts to run to avoid them.
after 20 seconds, he reaches a speed of 4.8 m/s. what is his acceleration?

Explanation:

Problem 1

Step1: Identify values

Initial speed \( v_i = 0 \, \text{m/s} \), Final speed \( v_f = 13.2 \, \text{m/s} \), Time \( t = 3.1 \, \text{s} \)

Step2: Apply acceleration formula

\( a=\frac{v_f - v_i}{t}=\frac{13.2 - 0}{3.1} \)

Step3: Calculate

\( a=\frac{13.2}{3.1}\approx4.26 \, \text{m/s}^2 \)

Step1: Identify values

\( v_i = 3 \, \text{m/s} \), \( v_f = 46 \, \text{m/s} \), \( t = 24 \, \text{s} \)

Step2: Apply formula

\( a=\frac{46 - 3}{24}=\frac{43}{24} \)

Step3: Calculate

\( a\approx1.79 \, \text{m/s}^2 \)

Step1: Identify values

\( v_i = 0.6 \, \text{m/s} \), \( v_f = 4.3 \, \text{m/s} \), \( t = 8 \, \text{s} \)

Step2: Apply formula

\( a=\frac{4.3 - 0.6}{8}=\frac{3.7}{8} \)

Step3: Calculate

\( a = 0.4625 \, \text{m/s}^2 \)

Answer:

\( \approx 4.26 \, \text{m/s}^2 \)

Problem 2