1) in getting ready to slam-dunk the ball, a basketball player starts from rest

Question

1) in getting ready to slam-dunk the ball, a basketball player starts from rest and sprints to a speed of 6.0m/s in 1.5 s. assuming that the player accelerates uniformly, determine the distance he runs.
2)A car is travelling at a constant speed of 33 m/s on a highway. At the instant this car passes an entrance ramp, a second car entersthe highway from the ramp. The second car starts from rest and has a constant acceleration. What acceleration must it maintain, so that the two cars meet for the first time at the next exit, which is 2.5 km away? 1) in getting ready to slam-dunk the ball, a basketball player starts from rest and sprints to a speed of 6.0m/s in 1.5 s. assuming that the player accelerates uniformly, determine the distance he runs.
2)A car is travelling at a constant speed of 33 m/s on a highway. At the instant this car passes an entrance ramp, a second car entersthe highway from the ramp. The second car starts from rest and has a constant acceleration. What acceleration must it maintain, so that the two cars meet for the first time at the next exit, which is 2.5 km away?
2)A car is travelling at a constant speed of 33 m/s on a highway. At the instant this car passes an entrance ramp, a second car entersthe highway from the ramp. The second car starts from rest and has a constant acceleration. What acceleration must it maintain, so that the two cars meet for the first time at the next exit, which is 2.5 km away?

Explanation / Answer

from equation of motion
*

distance = average speed*time

s = (0+6)/2*1.5 = 4.5 m <<<========ANSWER

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2)

for first car

speed v1 = 33 m/s

acceleration a1 = 0

x = 2.5 km = 2500 m

x = v1*t + (1/2)*a1*t^2

t = 2500/33 s

for second car

v2 = 0

a2 = ?

x = 2500 m

2500 = 0*t + (1/2)*a2*(2500/33)^2

acceleration a2 = 0.8712 m/s^2 <<<<<=======ANSWER

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