A car starts from standing top and in 10 seconds is travelling 20 m / s what is the acceleration

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A car starts from standing top and in 10 seconds is travelling 20 m / s what is the acceleration

If you know the initial and final velocity of a car (or whatever) - and the time used - the average acceleration can be calculated as

a = dv / dt 

   = (vf - vs) / dt                                           (1)

where

a = acceleration of object (m/s2, ft/s2)

dv = change in velocity (m/s, ft/s)

vf = final speed (m/s, ft/s)

vs = start speed (m/s, ft/s)

dt = time used (s)

Common benchmark velocities for acceleration of cars and motorcycles are

  • 0 - 60 mph = 0 - 26.8 m/s = 0 - 96.6 km/h
  • 0 - 100 km/h = 0 - 27.8 m/s = 0 - 62.1 mph

Online Car Acceleration Calculator

km/h

start speed (km/h)

final speed (km/h)

time used (s)

mass of object (kg)


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Note that force, work and power are calculated for mass acceleration only. Forces due to air resistance (drag) and rolling friction are not included. 

mph

start speed (mph)

final speed (mph)

time used (s)


Load Calculator!

Car Acceleration Diagram - km/h

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Car Acceleration Diagram - mph

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If you know the distance moved and the time used - the acceleration can be calculated as

a = 2 ds / dt2                                 (2)

where

ds = distance moved (m, ft)

Acceleration of some known cars

Acceleration Force

The acceleration force can be calculated as

F = m a                                (3)

where 

F = acceleration force (N, lbf)

m = mass of car (kg, slugs)

Acceleration Work

The acceleration work can be calculated as

W = F l                                    (4)

where 

W = work done (Nm, J, ft lbf)

l = distance moved (m, ft)

Acceleration Power 

The acceleration power can be calculated as

P = W / dt                                  (5)

where 

P = power (J/s, W, ft lbf/s)

Example - Car Acceleration

A car with mass 1000 kg (2205 lbm) accelerates from 0 m/s (0 ft/s) to 27.8 m/s (100 km/h, 91.1 ft/s, 62.1 mph) in 10 s.

The acceleration can be calculated from eq. 1 as

a = ((27.8 m/s) - (0 m/s)) / (10 s)

   = 2.78 m/s2

The acceleration force can be calculated from eq. 3 as

F = (1000 kg) (2.78 m/s2)

   = 2780 N

The distance moved can be calculated by rearranging eq. 2 to

ds = a dt2 / 2

    = (2.78 m/s2) (10 s)2 / 2

    = 139 m

The acceleration work can be calculated from eq. 4 as

W = (2780 N) (139 m)

    = 386420 J

The acceleration power can be calculated from eq. 5 as

P = (386420 J) / (10 s)

   = 38642 W

   = 38.6 kW

The calculation can also be done in Imperial units:

The acceleration can be calculated from eq. 1 as

a = ((91.1 ft/s) - (0 ft/s)) / (10 s)

   = 9.11 ft/s2

In the Imperial system mass is measured in slugs where 1 slug = 32.17405 lbm

The acceleration force can be calculated from eq. 3 as

F = ((2205 lbm) (1/32.17405 (slugs/ lbm)) ) (9.11 ft/s2)

   = 624 lbf

The distance moved can be calculated by rearranging eq. 2 to

ds = a dt2 / 2

    = (9.11 ft/s2) (10 s)2 / 2

    = 455 ft

The acceleration work can be calculated from eq. 4 as

W = (624 lbf) (455 ft)

    = 284075 ft lbf

The acceleration power can be calculated from eq. 5 as

P = (284075 ft lbf) / (10 s)

   = 28407 ft lbf/s

  • 1 ft lbf/s = 1.36 W = 0.00182 hp

A car starts from standing top and in 10 seconds is travelling 20 m / s what is the acceleration

In physics, acceleration is the rate at which the velocity of a body changes with time.  For example, an object such as a car that starts from a full stop, then travels in a straight line at increasing speed, is accelerating in the direction of travel. If the car changes direction at constant speed, there is strictly speaking an acceleration, although not described as such; passengers in the car will experience a force pushing them back into their seats in linear acceleration, and a sideways force on changing direction. If the speed of the car decreases, or decelerates, mathematically it is acceleration in the opposite direction.

The formula for acceleration = A = (Vf – V0)/t and is measured in meters per second2.  Here is a typical question:

A car starts from standing top and in 10 seconds is travelling 20/meters per second.  What is the acceleration?

a. 0.5 m/sec2
b. 1.5 m/sec2
c. 1 m/sec2
d. 2 m/sec2

The formula for acceleration = A = (Vf – V0)/t

so A = (20 m/sec – 0 m/sec)/10 sec  = 2 m/sec2

Speed is the rate of change of an objects position, or,

speed = (total distance traveled)/(total time taken).

Here is a typical question:

A rocket travels 3000 meters in 5 seconds.  How fast is it travelling?

a. 100 m/sec b. 200 m/sec c. 500 m/sec

d. 600 m/sec

Answer: D speed = (total distance traveled)/(total time taken)

3000/5 = 600 meters per second.

1. A car starts from a full top and in 20 seconds is travelling 10/m per second. What is the acceleration?
a. 0.5 m/sec2
b. 0.24 m/sec2
c. 1 m/sec2
d. 1.5 m/sec2

2. A motorcycle travelling 90 mph accelerates to pass a truck. Five seconds later the car is going 120 mph. Calculate the acceleration.

a. 6 mph/second b. 10 mph/second c. 15 mph/second

d. 20 mph/second

3. A rocket releases a satellite into orbit around Earth. The satellite travels at 2000 m/s in 25 seconds. What is the acceleration?

a. 60 m/sec2
b. 80 m/sec2
c. 100 m/sec2
d. 120 m/sec2

4. A soccer ball is kicked and travels at a velocity of 12 m/sec. After 60 seconds, it comes to a stop. What is the acceleration?

a. -0.2 m/sec2
b. 0.2 m/sec2
c. 1 m/sec2
d. 0.5 m/sec2

Speed is the rate of change of an objects position, or,
speed
 = (total distance traveled)/(total time taken).

Here is a typical question:

A rocket travels 3000 meters in 5 seconds.  How fast is it travelling?  

a. 100 m/sec b. 200 m/sec c. 500 m/sec

d. 600 m/sec

speed = (total distance traveled)/(total time taken)

3000/5 = 600 meters per second.

5. The space station travels 1000 meters in 5 seconds. How fast is it travelling?

a. 100 meters/second b. 200 meters/second c. 50 meters/second

d. 500 meters/second

6. A runner can sprint 6 meters per second. How far will she travel in 2 minutes?

a. 600 meters b. 720 meters c. 760 meters

d. 800 meters

7. How far can a person walk if they travels 1000 m in 20 minutes?

a. 25 meters b. 50 meters c. 100 meters

d. None of the above

1. A The formula for acceleration = A = (Vf – V0)/t

so A = (10 m/sec – 0 m/sec)/20 sec = 0.5 m/sec2

2. A
The formula for acceleration = A = (Vf – V0)/t  so A = (120 -90)/5 sec = 6 mph/second

3. B The formula for acceleration = A = (Vf – V0)/t

so A = (2000 – 0)/25 sec = 80 m/sec2

4. A
The formula for acceleration = A = (Vf – V0)/t so A = (0 – 12)/60 sec = -0.2 m/sec2

5. B Speed = (total distance traveled)/(total time taken)

1000/5 = 200 meters per second

6. B Speed = (total distance traveled)/(total time taken) 6 = x/120 (convert minutes to seconds) 6 * 120 = x

X = 720 meters

7. B Speed = (total distance traveled)/(total time taken) X = 1000m/20 minutes

X = 50 meters

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Date Published: Sunday, April 6th, 2014


Date Modified: Monday, April 18th, 2022