When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first 20 s is extremely well modeled by the simple equation v x 2 = 2 P m t where P = 3.6 × 10 4 watts is the car’s power output, m = 1200 kg is its mass, and v x is in m/s. That is, the square of the car’s velocity increases linearly with time. a. Find an algebraic expression in terms of P, m, and t for the car’s acceleration at time t. b. What is the car’s speed at t = 2 s and t = 10 s? c. Evaluate the acceleration at t = 2 s and t = 10 s.
When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first 20 s is extremely well modeled by the simple equation v x 2 = 2 P m t where P = 3.6 × 10 4 watts is the car’s power output, m = 1200 kg is its mass, and v x is in m/s. That is, the square of the car’s velocity increases linearly with time. a. Find an algebraic expression in terms of P, m, and t for the car’s acceleration at time t. b. What is the car’s speed at t = 2 s and t = 10 s? c. Evaluate the acceleration at t = 2 s and t = 10 s.
When a 1984 Alfa Romeo Spider sports car accelerates at the maximum possible rate, its motion during the first 20 s is extremely well modeled by the simple equation
v
x
2
=
2
P
m
t
where
P
=
3.6
×
10
4
watts is the car’s power output, m = 1200 kg is its mass, and vxis in m/s. That is, the square of the car’s velocity increases linearly with time.
a. Find an algebraic expression in terms of P, m, and t for the car’s acceleration at time t.
b. What is the car’s speed at t = 2 s and t = 10 s?
c. Evaluate the acceleration at t = 2 s and t = 10 s.
A truck is making a delivery and must take a few roads to go around a lake. The truck starts driving at 24 m/s [14 N of E] for 18 minutes. It then turns into a new road and drives 20 m/s [10 E of N] for 12 minutes. Finally, it drives 22 m/s [W] for 30 minutes. (Don't forget to convert to metres when solving and please include diagrams).
a. What is the truck's displacement from its starting point?
b. Calculate the average speed and average velocity over the entire trip.
A.
B.
Do step by step and mention variables and units
A frustrated office worker throws his laptop out of his business's high-
rise office building. The height, h, in meters of the laptop above the ground at t
seconds can be modelled by h(t) = 125-5t².
a. Determine the average rate of change between the third and fourth second
of the laptop's flight.
b. Estimate the rate at which the laptop hits the ground.
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