sports car driver travelling at 95 miles per hour Slams the brakes and comes to rest in 4 seconds calculate the average acceleration of the car in metre per second square
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sports car driver travelling at 95 miles per hour Slams the brakes and comes to rest in 4 seconds calculate the average acceleration of the car in metre per second square
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Verified answer
u=95 miles/hr= 42.46m/s Approx.
v=0
t=4 s
a= -42.46/4
a= -10.61 m/s^2
The average acceleration is -10.6ms⁻²
GIVEN
Initial velocity 95mph
Time taken = 4 sec
TO FIND
Average Acceleration of the car.
SOLUTION:
we can simply solve the above problem as follows-
It is given,
The initial velocity of the car, 'u' = 95 mph
We will first convert 95mph to meter per second
we will convert mph to kilo per hour then to meter per second.
[tex] \frac{95miles}{hour} \times \frac{1.6093km}{1mile} \times \frac{1000meter}{1km} \times \frac{1hr}{60min} \times \frac{1min}{60sec} [/tex]
= 42.4 m/s
Now, the body comes to rest
so, the final velocity = 0.
Retardation is negative of acceleration
[tex]a = \frac{v - u}{t} [/tex]
where,
u = initial velocity
v = final velocity
acceleration (in this case, retardation)
t = time taken
putting the values in the above equation we have,
[tex]a = \frac{0 - 42.4}{4} [/tex]
a = -10.6
Hence, the average acceleration is -10.6ms⁻²
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