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Physics Asked by a SnapAndSolve user · about 2 hours ago

A Car Speeds Up A car is traveling at 10 m/s. After 5 seconds, its velocity increases to 25 m/s. What is...

1. A Car Speeds Up
A car is traveling at 10 m/s. After 5 seconds, its velocity increases to 25 m/s. What is the car's acceleration?
Answer:
2. A Bicycle Accelerates
A cyclist is traveling at 4 m/s. The cyclist pedals faster, reaching a velocity of 12 m/s in 4 seconds. What is the cyclist's acceleration?
Answer:
3. A Train Leaves the Station
A train starts from rest and reaches a velocity of 20 m/s in 10 seconds. What is the train's acceleration?
Hint: Starting from rest means the initial velocity is 0 m/s.
Answer:

Answer

1. A Car Speeds Up

The car's initial velocity (u) is 10 m/s, and the final velocity (v) after 5 seconds is 25 m/s. The formula to calculate acceleration (a) is:

a = (v - u) / t

Substituting the values:

a = (25 m/s - 10 m/s) / 5 s = 15 m/s / 5 s = 3 m/s²

Answer: 3 m/s²

2. A Bicycle Accelerates

The cyclist's initial velocity (u) is 4 m/s, and the final velocity (v) is 12 m/s after 4 seconds. Using the same formula for acceleration:

a = (v - u) / t

Substituting the values:

a = (12 m/s - 4 m/s) / 4 s = 8 m/s / 4 s = 2 m/s²

Answer: 2 m/s²

3. A Train Leaves the Station

The train starts from rest, so the initial velocity (u) is 0 m/s. The final velocity (v) after 10 seconds is 20 m/s. Again using the acceleration formula:

a = (v - u) / t

Substituting the values:

a = (20 m/s - 0 m/s) / 10 s = 20 m/s / 10 s = 2 m/s²

Answer: 2 m/s²

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