Explanation & Calculations
1). Velocity-time graph & consider the shown angle as θ
Distance traveled is the area under the graph
Distance=21×0.75s×15ms−1=5.625m
2). Acceleration is the slope (gradient) of the graph = tanθ & can be found using trigonometric relationships for the triangle under the curve.
Accelerationbuttan(π−θ)−tanθtanθDeceleration=tanθ=0.75s15ms−1=20ms−2=−20ms−2=20ms−2
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