Hi:) what does the one highlighted in pink mean?
1 answer:
Answer:
The acceleration of the car at the instant when t=3s is found by taking the gradient of the tangent at the point t=3.
The tangent are those dotted lines sloping upwards in the graph.
Tangent: A straight line that touches the curve and does not intersect it.
The reason why they wrote instantaneous is because the acceleration (or gradient of graph) is not constant throughout hence it is just at the moment when t=3s.
Gradient is used to find the acceleration of a speed time graph.
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Complete Question
An airplane takes off a runway at a constant speed of 49 m/s at constant angle 30 to the horizontal.How high (in meters ) is the airplane above the ground 13 seconds after takeoff?
Answer:
The height is
Explanation:
From the question we are told that
The speed at which the plane takes off is
The angle at which it takes off is
The time taken is
The vertical distance traveled is mathematically represented as
Substituting values