Question

a). A prototype car starts from rest and accelerates at a constant rate to 60 m/s in 4.1 seconds. How much distance did the car travel during the 4.1-second accelerated motion?

b). A single-engine air plain starts its engine at one end of the runway. It accelerates at a constant rate and takes off at 36 m/s after 29 seconds on the runway, just as it is running out of runway. How long is the runway?

c). An object is experiencing a constant acceleration. At time 2 s, it is traveling at 35 m/s. At a later time 8, it is traveling at 22 m/s. Find its acceleration.

d). At time 0 s, the speedometer of your car reports 33 m/s. At a later time 7, your car reports 27 m/s. Assuming you are accelerating at constant rate. Find your acceleration.

e). A driver is driving uphill. He maintained his throttle, causing his car to constantly decelerate as it is coming up the hill. The road going up the hill is 217 m long and it took him 8.1 seconds to get to the top of the hill. His speed has reduced to 24 m/s at that point. What was the car's acceleration (include a negative sign in your answer)? Hint: the initial position of the car can be set at the origin.

Answer 1

a) Let acceleration of car is a.

final velocity of car is given as 60 m/s

time duration is given as 4.1 s

Initial velocity of car is 0 m/s

Now distance

Alternate methode

average velocity during constant acceleration

distance = average velocity *time

b) runway length

c)

acceleration = change in velocity /time

Thanks for asking.