1.

A roach moves down the hall at 1.2 m/s. When he sees the janitor coming down
the hall, he begins to run. After 3.2 s, he is moving at 3.6 m/s. What is his
acceleration?
2.
While waiting for his Mom to come out of the hairdresser's, Sean accidentally
puts the car in gear and it begins to roll forward. How far would the vehicle
travel if it moved at 34 m/s for 2.5 s?
3.
While showing off for some girls at the skate park, Josh D crashes. After the
crash he tumbled 30 m in 4.2 s, what was his speed in m/s?
4.
Colin skateboards down the sidewalk in front of the school, traveling at 24
km/h. How much time would it take him to travel 6.0 km?

1. To find the acceleration of the roach, we can use the formula:

acceleration = (final velocity - initial velocity) / time

Given that the initial velocity is 1.2 m/s, the final velocity is 3.6 m/s, and the time is 3.2 seconds, we can plug in these values:

acceleration = (3.6 m/s - 1.2 m/s) / 3.2 s
acceleration = 2.4 m/s / 3.2 s
acceleration = 0.75 m/s²

Therefore, the roach's acceleration is 0.75 m/s².

2. To find the distance the vehicle would travel, we can use the formula:

distance = velocity * time

Given that the velocity is 34 m/s and the time is 2.5 seconds, we can substitute these values:

distance = 34 m/s * 2.5 s
distance = 85 m

Therefore, the vehicle would travel 85 meters.

3. To find the speed of Josh D after the crash, we can use the formula:

speed = distance / time

Given that the distance is 30 m and the time is 4.2 seconds, we can substitute these values:

speed = 30 m / 4.2 s
speed ≈ 7.14 m/s

Therefore, Josh D's speed after the crash is approximately 7.14 m/s.

4. To find the time it would take for Colin to travel 6.0 km, we can use the formula:

time = distance / velocity

Given that the distance is 6.0 km (which is equivalent to 6000 m) and the velocity is 24 km/h (which is equivalent to 6.67 m/s), we can substitute these values:

time = 6000 m / 6.67 m/s
time ≈ 899.05 s

Therefore, it would take Colin approximately 899.05 seconds to travel 6.0 km.

1. V = Vo + a*t.

V = 3.2 m/s, Vo = 1.2 m/s, t = 2.5 s, a = ?.

2. V = Vo + a*t.
V = 34 m/s, Vo = 0, t = 2.5 s, a = ?.

d = 0.5a*t^2.

3. r = 30m/4.2s. =

4. d = r*t, t = ?.