Question: I really need help with these practice questions pleasee. Could you do them on a piece of paper so I can better understand. THANK YOU

















I really need help with these practice questions pleasee. Could you do them on a piece of paper so I can better understand.
THANK YOU !

















The speed of an object is the magnitude of its velocity at time t. speed = v(t)| = [s'(t)1. True FalseIf the velocity function v(t ) of an object is at its maximum, then the value of a (t ) , its acceleration, is zero. O True O FalseAn object is accelerating (speeding up) when its velocity and acceleration have different signs. True O False Page 4 of 15A boat demonstrates a positive velocity but a negative acceleration. Which of the following plots illustrates its motion? a ) O b) SOb ) O c O d) SOc S O d)A ball is thrown upwards then falls back down to the ground. If h(t) represents the height of the ball, which of the following best illustrates the initial conditions of this situation? ( a) h'(t) 0 O b) h' (t) 0 and h"(t) > 0 d) h'(t) > 0 and h"(t) 0 (b) v(t) 0 and a(t) 0 and a(t) > 0 5:Given the position function s (t) = 413 - 6t2 + 10, which of the following is true? O a) none of the above O b) v (0 ) = 0 O c) a (0) = 0 O d) s(0) = 0A ball is thrown downward from the top of a 20 m tall building with an initial velocity of 15 m / s. What equation could be used to model its height, h(t)? Oh(t) = -4.9t2 - 15t + 20 Oh(t) = 4. 9t2 - 15t + 20 Oh(t) = -4.9t2 - 15t - 20 Oh(t) = -4. 9t2 + 15t + 20 Page 10 of 15Question Negative acceleration, a(t ) 0, indicates that the velocity is decreasing. O True O FalseWhat function measures the rate of change of displacement? acceleration distance O velocity temperatureA projectile is launched with a velocity of 30 m / S at 40 to the ground. To two decimal places, the horizontal velocity is O 22. 98 km /h O 2. 98 km /h O 22. 98 m/s O2. 98 m/sIn an optimization problem, you must determine the maximum or minimum value of a quantity. O True O FalseAn object has a position (in metres) given by the expression s (t) = to - 4tz + 5, where t is measured in seconds. The velocity function is v (t) = 3t2 - 8t. True O False Page 15 of 15Negative velocity, v(t )
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