Straight line formulae.
Under constant acceleration
d = ut + (1/2)at2


The steps you should follow for each example are:
Step 1 - collect the data
Step 2 - choose the appropriate formula
Step 3 - give each pronumeral its respective value
Step 3 - solve for the required variable.
v = Final velocity
u= Initial velocity
a = Acceleration
t = Time.
d = Distance

Exercise

How long does it take for a car to cover 40m from a standing start, with a constant acceleration of 4.0m/s/s?

 

 

 

Data

 

 

u = 0m/s(Standing start)
d = 40m
a = 4.0m/s/s
t =?

Solution

 

A ball is thrown in the air with an unknown initial velocity. 4 seconds after the ball is thrown its height is measured at 38m. With what initial velocity was the ball thrown?
g = 9.8m/s/s
Clue

A car passes a checkpoint at 30m/s when the driver accelerates at 8m/s/s until he reaches the next checkpoint 23 seconds later. How far apart are the checkpoints.

Clue

A cyclist accelerates from a standing start at 0.8m/s/s until she reaches the FINISH line 80m away. How long does it take her to cover 80m? Clue 
A cyclist passes the START line with an unknown velocity. He accelerates at 1.2m/s/s until he reaches the FINISH line 180m away. The time he took to cover the 180m was 14.4 seconds. What was his initial velocity as he crossed the START line? Clue
A bike brakes with a constant acceleration of -5m/s/s. It takes 16m to stop and 4 seconds elapsed from the time the brakes were applied to the moment the bike stopped. What speed was the bike travelling at? Clue
What is the acceleration of a bus if it starts from rest and covers 100m in 5 seconds. Clue

How long will it take for a 30 ton spacecraft to free fall onto the surface of an unknown planet, identical to that of Earth but with no atmosphere, if it hovers 3km above the surface before falling.

g =9.8m/s/s

Clue
A car travelling at 90km/hr applies its brakes and travels a further 60m in 5 seconds before coming to rest. What was the deceleration of the car? Clue

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